Question

pramod is 15 years younger than his sister. after 5 years, he will be half his sister's age. find their current age

Answer 1

Step-by-step explanation:

Let the sister age be X and Pramod age be Y.

pramod is 15 years younger than his sister.

Y = X - 15 (Equation 1)

After 5 yrs,

Sister age = X + 5

Pramod age = Y + 5

Pramod will be half his sister's age. ( Given )

Y+5 = X+5 ÷ 2

2 ( Y+5) = X+5

2Y + 10. = X+5

X = 2Y +10 - 5

X = 2Y + 5

Sub Y = X-15 ( From equation 1)

X = 2 (X-15) + 5

X = 2X - 30 + 5

30-5 = 2X - X

25 = X

Current age of sister is 25.

Sub X= 25

Y = 25 - 15

Y = 10

Current age of Pramod is 10.