Question

What is sonia's present age? i. sonia's present age is five times deepak's present age. ii. five years ago her age was twenty-five times deepak's age at that time?

Answer 1

Sonia's present age is five times deepak's present age, S=5 * D ----I

five years ago her age was twenty-five times deepak's age at that time

(S-5) = 25(D-5)

Substituting I in this,

we get D=6 and hence, S = 30

Answer 2

The age of sonia is 30 years.

• Let the age of deepak be x.
• Now Sonia's present age is 5 times that of deepak's age.

Sonia's age = 5x

• Five years ago, Sonia's age was 25 times the age of deepa.

5x - 5 = 25 (x-5)

5x - 5 = 25x - 125

20x = 120

x = 6

Now, Deepa's age is 6 years.

Sonia's age = 6x = 6×5 = 30 years.