What is My Age?

Dad's age is $A$ :

$A=22+(A\div2)$

Subtract $(A\div2)$ from both sides.

$(A÷2)=22$

Multiply both sides by 2

$A=44$

Let $x$ be the father's age.

Therefore according to the Question,

$x$ = $\frac{x}{2}$ + 22

$x$ - $\frac{x}{2}$ = 22

$\frac{x}{2}$ = 22

$x$ = $\boxed{44}$

Therefore His father's age is $\boxed{44}$

You don't need any fancy equations. Two halves make a whole so if you are adding half of his age to another number and it makes his whole age, the other number must also be half. So it's just 22 + 22

$22 + \frac{1}{2}x = x$

Then do some ( very, very basic) algebra

$\frac{1}{2}x = 22 \therefore x = 44$

The solution makes sense when thought about logically as well. Try the riddle thinking the father is 64. 22+32= 54 not 64. Similarly, if you thought the father was 30, 22+15=37, not 30. If the father was 44 though, 22+22=44, which is the age we initially assumed.

This is not as hard as everyone is treating it to be. You DO have exactly enough information. No, you aren't told the dad's age; that's what you're solving for! You ARE allowed to use half of that unknown variable within the problem; it's done in algebra frequently: x=1/2x+y. When you subtract both sides by 1/2x, the one on the right cancels and on the left you have exactly 1/2x, leaving 1/2x=y. This is followed by a direct substitution for y.

I am, meaning A = [your age=22] PLUS (+) [half of my age=A/2] A/2 = (1/2) A A = 22 + (1/2) A
Then subtract both sides by (1/2) A to get: A - (1/2) A = 22

A = (2/2) A, so.... (2/2) A - (1/2) A = (1/2) A Leaving the equation to be: (1/2)*A = 22 A = 44

There is no discrepancy in the wording. Stating "I am your age plus half of my age" is crystal clear. This is, in fact, a level 1 algebra problem, and it was quick and fun to do.

Thank you for the problem, and I hope it helps somebody :P

A lot of people are having trouble with this question. The 38% failure rate makes me uncomfortable.

The logic works out, it just isn't asking the question you think it is. What the question is asking you to do is find a number (D for dad) that can be divided by 2 and then added to 22 (S for son) to be equal itself. The formula would look like this: d = s + d / 2.... or more simply, d = s * 2. But we'll work out why that is later.

lets work with a different medium --age is getting dull. Two stacks of firewood are being advertised side by side. Assume that we are familiar with the vendors and trust that their ads are truthful. As a savvy patron of these vendors we'd prefer to work out what the ads mean rather than ask for help.

BEGIN:

The sign on the left is titled LEFT and declares a value of 200 weight.

The sign on the right is titled RIGHT and declares a value of " LEFT plus RIGHT over TWO ". For clarity, a pseudo equation is included below it: "R is equal to L + R / 2 "

What you're looking at is a description, a definition, which is perfectly analogous to the original problem, and it can either evaluate to true or false depending on what numbers you fill in. If NO NUMBER satisfies the equation, then it will always evaluate to FALSE and can be said to be invalid. But if a number CAN satisfy it, then that number will cause the equation to evaluate to TRUE , and will be the so called solution, or more simply, the number you are looking for.

Again, in plain english, the number you're looking for (R) is one that when divided by 2 and then added to 200 (L) will be equal to itself (R). You could use PEMDAS to solve for it, or you could just try a few numbers. Let's do that shall we? Check the formula from the sign on the right for reference

1000 /2+200 = 700 ..... Obviously 1000 does not equal 700. Let's increment down by 500.

500 /2+200 = 450 ....... 500 also != 450, but it's pretty close. Let's increment down by 100.

400 /2+200 = 400 ....... DING DING DING We have a winner! 400 /2 * 2 = 400

Now recall above where I said that d = s + d / 2 could be more simply stated as d = s * 2? Well this is why. If you were solving for x in this problem: 400 /2 *2 = x, anyone with a brain could understand the elimination process that would take place here. Go ahead say it out loud. "four-hundred divided by two times two -- oh well it just means 400 = --- oh... it's just 400. 400 is the whole answer..."

Thank you and good night.

Guys this is really simple basic algebra, all of the necessary information is there, if your dad says to you "I am your age plus half of my age" and you're 22, what he's saying is "I am 22 plus half of my age" so the equation is - when written in words:

My age = 22 + half of my age

If you take away "half of my age" from both sides you get

Half of my age = 22

Then multiply both sides by 2 to get "My age"

My age = 44

There we go

Lol.

I thought of a somewhat different way to approach this.

The dad says "I am your age plus half my age."

If we were just to put it in simple terms, his dad is: "X (half his age) + Y"

Forget about whatever they tell you Y stands for, all you need to know is that since he already has filled in the equation with "half his age", the other part must equal half too, in order for his statement to be true.

So Y = X in other words whatever his son's age is you just double it.

Why is there so much 5th grade math like this on this site? Or perhaps a more relevant question is, why do so many people provide wrong answers to 5th grade math? I am ashamed of America's education system.

I just guessed as 44 sounded correct. I have no idea why it did, it just did. Math, or maths as they say in Doctor Who, to me is a total dick. I hate it, it hates me. But 44 just felt right. I did not work out age=X + 1/2age or anything of the sort. All that makes my head hurt. But I got it right anyways. I guess I sussed it out somehow.

To be honest... I just guessed 44, because it doesn't made amy sense for my level of mathematics...

But when I read some other answers they do make sense.

I am your age (22). Plus half of my age. Im thinking that the "dad" trying to telling us that his age is 22 plus half of his age, which is 22:2=11. So, it will be "dad"'s age which is "your age" = 22 + 11 = 33. But 44 is more intuitive answer here.

this question is stupid and the people who says 44 are stupid

by the way A=22+(A/2) it is not = (A/2)=22 BUT >>> A / (a/2)= 22+(A/2 )/ a/2

I Hope u understand the Real problem of this stupid Question

To think of it another way, in making a good guess what numbers could you expect from the simplistic statements? The numbers I could expect would be at rates of 1.5x, 2x, 2.5x, and 3x (x being 22) without even really thinking through the problem. However, after reading the problem, any number past 22 would be possible if you assume the father's age to be 22 + half of any number. Yet because there are infinitely many numbers to choose from and because you could end with decimal answers instead of integers, it discounts itself from being a "good" guess and eliminates the 2.5x and 3x as possibilities as no other reasoning seems to exist to support them. The remaining ages of 33 and 44 could still be assumed by other logic (though with fallacies in some) as shown below:

1. 22 + 11(if you assumed that the father's age was set at 22 by the previous statement in terms akin to Java coding)

2. 22 + 22 (if you assumed directly to the point that half of the father's age = son's age)

3. 22 + .5x =x (as better stated by others).

However of the two possible solutions 33 is just creepy as the father would have had to be 11 when the son was born, so... the father should be 44 thinking realistically. If there are others I missed please feel free to add them to the comments. Just don't go too far with observations, like making the father 5000 years old, he would be a mummy then.

we know that the son's age (22)+half the dad's age (1/2x) is equal to the dad's age (x). this can be written as an equation...

22+1/2x=x

22=1/2x

x=44

Short non-mathy answer to the problem: If I'm trying to find a sum and have to add half of the sum to a pre-existing amount, then half of the sum is already there. 22 (the son's age) was the pre-existing amount so half of the dad's age is 22. 22+22=44.

This is a senseless question the answers are only related to the logic of algebra and worked only out on that number 22, take other numbers and that age of tbe father depending on those .

Assume Dad's age=x As x-1/2x=1/2×, 1/2x(half of Dad's age)=son's age Therefore,22×2=44

You can try the same but different fractions like one-third,etc

Eg. Assume Dad's age is 1/3 of his son, As x-1/3x=2/3×, 2/3x(half of Dad's age)+1/3 of son's age= Dad's age So Dad is three times older(son's age is 1/3x) Therefore,22×3=66