Question

Priya and her father differ in their ages by 31 years. After 8 years. If the sum of their ages will be 69, their present ages are

Answer 1

Answer:

father's age is 42

Priya's age is 11

Answer 2

The present age of father = 42 years and  the present age of Priya = 11 years.

Step-by-step explanation:

Let the present age of father = x and

the present age of Priya = y

To find, their present ages = ?

According to question,

$x-y=31$       ......(1)

After 8 years,

the age of father = (x + 8) and

the present age of Priya = (y + 8)

Also,

(x + 8) +  (y + 8) = 69

⇒ x + y = 69 - 16 = 53

⇒ x + y = 53          ......(2)

On adding (1) and (2), we get

⇒ 2x = 84

⇒ x = $\dfrac{84}{2}$ = 42

Put x = 42 in (1), we get

42 - y = 31

⇒ y = 42 - 31 = 11

Hence, the present age of father = 42 years and  the present age of Priya = 11 years.