Question

the age of the father is thrice the sum of ages of his three children. after 3 years his age will be only double of the sum of his three children. find the present age of the father​

Answer 1

Answer:

45 years

Step-by-step explanation:

Let age of father = x

Let sum of ages of 3 children = y

Then,

x=3y                                  and                   (x+3)=2(y+9)            [3(3);all children]

x-3y=0     → (1)                                              x-2y=15 → (2)

Subtract (1) from (2)

x-2y-(x-3y)=15-0

y=15 years

Substitute this value in (1)

x-3(15)=0

∴ x=45 years

So, present age of father is 45 years.