Question

Fathers age is 3 times the sum of ages of his 2 children.After 5 years his age will be twice the sum of ages of two children.Find the age of father

Answer 1

Answer:

age of father is 45 years

Step-by-step explanation:

let present age of father be a , present age of both children be x and y

then, at present,

ATQ a=3(x+y) _eq1

after 5years,

x+yage of father be a+5 and that of children be (x+5) and (y+5)

ATQ,

a+5=2(x+5+y+5)

a+5=2(x+y+10)

a+5=2(a/3 +10) from eq1

a+5=2(a+30)/3

3(a+5)=2a+60

3a+15=2a+60

3a-2a=60-15

a=45

age of father is 45 years