Question

Shobha's mother's present age is six times Shobha's present age. Shobha's age five years from now will be one third of his mother's present age. What are their present ages?​

Answer 1

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Answer 2

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Given :

Shobha's mother's present age is six times Shobha's present age.

Shobha's age five years from now will be one third of his mother's present age.

To Find :

The present age of Shobha and his mother.

Solution :

Let us assume that, the present age of Shobha's is x years.

As it is given that, Shobha's mother's present age is six times Shobha's present age.

→ Shobha's mother age = 6x.

According to the given question,

→ x + 5 = 1/3 (6x)

→ x + 5 = 1/3 * 6x

→ x + 5 = 1/3 * 6 * x

→ x + 5 = 1 * 2 * x

→ x + 5 = 2 * x

→ x + 5 = 2x

→ x - 2x = -5

→ -x = -5

→ x = 5

Therefore,

The present of Shobha's and the present age of his mother will be,

x = 5 years.

6x = 6 * 5 = 30 years.

Hence, the present age of Shobha is 5 years, and the present age of his mother is 30 years.

Verification :

→ x + 5 = 1/3 (6x)

→ 5 + 5 = 1/3 * 6 * 5

→ 10 = 1/3 * 6 * 5

→ 10 = 1 * 2 * 5

→ 10 = 2 * 5

→ 10 = 10

Here, LHS = RHS.

Hence Verified !