An algebra problem

Algebra Level 2

A father is 4 times his son's age. And in 30 years son's age will be half of his father's age. How old is the father?


The answer is 60.

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3 solutions

Sachin Kumar
Feb 5, 2016

I did it by thinking practically For example i supposed 3 ages of son - 5,10,15 1)- 5*4=20, after 30year =5+30= son's age and 20+30= 50 father's age. 50/2=25. Hence it is wrong. Do same with other three no. And u will get that 15 fit in this situation, consequently 15 son's age is ryt and therefore father age would be 60.

I am not good at maths but my approach to question is always practical most of the tym.

We don't have to solution a question by the usual way in math . Think some different . Imagination is the real knowledge . So, keep go ahead with your real knowledge and don't think that you are not good at math . Always keep your self-confidence high............

shithil Islam - 5 years, 4 months ago

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Thanx bro for appreciating and motivating me :)

Sachin Kumar - 5 years, 4 months ago

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you're welcome . I am folloing you:):)

shithil Islam - 5 years, 4 months ago

S = F 4 S=\dfrac{F}{4} \implies 1 \color{#D61F06}\boxed{1}

S + 30 = 1 2 ( F + 30 ) S+30=\dfrac{1}{2}(F+30)

2 S + 60 = F + 30 2S+60=F+30 \implies 2 \color{#D61F06}\boxed{2}

Substitute 1 \color{#D61F06}\boxed{1} in 2 \color{#D61F06}\boxed{2} .

2 ( F 4 ) + 60 = F + 30 2\left(\dfrac{F}{4}\right)+60=F+30

30 = 1 2 F 30=\dfrac{1}{2}F

F = 60 \color{#3D99F6}\boxed{F=60}

Shithil Islam
Feb 5, 2016

Suppose, the age of son is x . so the age of father is 4x . so the equation is,4x+30=2(x+30) or, 4x+30= 2x+60 or, 4x-2x= 60-30 or, 2x= 30 or, x= 15 So, the age of father is 4.15 =60

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