Question

Sarthak is half of his mother's age now. Fifteen years ago he was one-third of his mother's age then. Find their present ages
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Answer 1

Answer:

Sarthak's age = 30 years

Mother's age = 60 years

Step-by-step explanation:

Let the age of Sarthak be S years.

His mother's age be M years.

According to question:

Now,

M = 2S

Fifteen years ago,

M - 15 = 3(S - 15)

→ M = 3S - 45 + 15

→ M = 3S - 30

By comparison method:

2S = 3S - 30

→ S = 30

Substituting the value of S:

M = 2 × 30 = 60

Answer 2

Answer:

Present age of Sarthak and his mother are 30 years and 60 years respectively.

Step-by-step solution:

Let the Sarthak's age be x years.

According to the question,

His Mother's age = 2x years

15 years ago,

Sarthak's age = 3(x - 15)

His Mother's age = 2x - 15

Now,

3(x - 15) = 2x - 15

3x - 45 = 2x - 15

3x - 2x = 45 - 15

x = 30

Sarthak's age = x = 30 years.

His Mother's age = 2x = 2 × 30 = 60 years.