Question

1) Fathers age is three times the sum of ages of his
two children. After 5 years his age will be twice the
sum of the ages of two children. Find the age of the
father​

Answer 1

Answer:

45 years

Step-by-step explanation:

Let the age of father be x years and sum of the ages of his children by y years.

After 5 years,

Father's age = (x + 5) years

Sum of ages of his children = (y + 10) years

From the given information, we have:

x = 3y ...(1)

and x + 5 = 2(y + 10)

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

From (1) and (2), we have,

3y - 2y = 15 y = 15

x = 3y = 45

Father's age = 45 years