# A man's age is three times the sum of the ages of his two sons. After 5 years, his age will be twice the sum of the ages of his two sons. Find the age of the man.(Linear equations in two variables)

2
ans. is 45. i wanna know theprocess
i think im right..

2014-09-08T21:40:54+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Let the Man's age be M years.
Let the Sum of ages of both Children be C years.

Man's age M = 3 C = 3 times the sum of sons' ages.
M+5 = Man's age after 5 years = 2 (C+10) ,as each child's age increases by 5 years. and their sum increases by 10 years.

So,  M = 3 C
M + 5 = 2 (C +10) = 2 C + 20

Substitute 1st equation in the 2nd.

3 C + 5 = 2 C + 20
C = 15 years
M = 45 years

The mans' age now is 45 years and sum of children's age is 15 years now.