Age craze!

Algebra Level 2

Mr and Mrs. Smith have only three children, Andy, Bandy and Candy. Seven years ago, Mr. Smith’s age was twice the sum of the ages of his three children put together. Now, the combined age of Mr. And Mrs. Smith is equal to twice the sum of the ages of the ages of their three children put together. If Bandy is two years elder to Candy and three years younger to Andy, what is the age of Mrs. Smith?


The answer is 35.

Krishna Ramesh by Krishna Ramesh , 22, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Sandeep Chouhan
Jun 8, 2014

Let current ages of Mr. Smith, Mrs. Smith, Andy, Candy, Bandy be x, y, a, b, c respectively. Now by problem- x-7=2(a-7+b-7+c-7) i.e. X= 2(a+b+c)-35 Also x+y=2(a+b+c) Subtract equation 2 by 1 we get y=35.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Biswajit Mohanty
Jun 4, 2014

Let the age of Mr. Smith, Mrs. Smith, Andy, Bandy, Candy be x, y, a, b, c respectively. Now, b=a-3 & b=c+2 this means c=a-5 As per the ques. x-7=2(a-7+b-7+c-7) x-7=2(a+a-3+a-5) +2*(-21) x=2(a+a-3+a-5) -35................eq1 Also, x+y=2(a+b+c) putting the value of x in eq1, we get 2(a+a-3+a-5) -35+y=2(a+a-3+a-5) so, y=35

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Lira Zabin
May 5, 2014

seven years ago the equation was like f=(x+2+x+x+4),in present the equation is f+m+14=6x+2+28 solving the equations we can get m=28 mother's present age is 28+7=35

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...