Question

I am three times as old as my son.15 year hence i will be twice as old as my son . What is the sum of our age?

Answer 1

Answer:

Step-by-step explanation:

Let the mother's age be x years old and the son's age be y years old.

According to the first condition,

x= 3y

x- 3y= 0....(1)

Now after 15 years mother will x+15 years and son will be y+ 15 years.

According to second condition,

x+15=2(y+15)

x+15=2y+30

x-2y=30-15

x-2y= 15....(2)

Now subtracting (2) from (1)

x- 3y= 0

- x + 2y= -15..... ( I just multiplied

the second

equation with

a negative

sign)

This gives the answer y= 15 that is son = 15 years old.

Now mother is older than son by 3 times his age.

Mother would be 3× 15= 45 years old

Hope it's helpful