Problema Solution

father's age is three times the sum of the ages of his two children. after 5years his age will be twice the sum of the ages of two children. find the age of father

Answer provided by our tutors

We just need to set two equations.

We can set the age of the father to X and set the age of the first child to a, and set the age of the secend child to b。So the sum of the age of the two children is a+b. 

so,from the title we know :X=3*(a+b);

and five years later,each of the age of the father,the first child and the second child is X+5,a+5 and b+5.So the sum of age of the two children is (a+5)+(b+5).So we can also get:

X+5=2*((a+5)+(b+5));

Let's get the two equations togher:

X=3*(a+b);

X+5=2*((a+5)+(b+5))=2*(a+b)+20.     X=2*(a+b)+15;

So,3*(a+b)=2*(a+b)+15;

We can get a+b=15,so X=3*15=45.

So the answer is 45.

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