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A person’s present age is two-fifths of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?A. 32 yearsB. 36 yearsC. 40 yearsD. 48 year

Question

A person’s present age is two-fifths of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?A. 32 yearsB. 36 yearsC. 40 yearsD. 48 year

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Solution

Let's denote the person's present age as P and the mother's present age as M.

From the problem, we know that:

  1. P = 2/5 * M (The person’s present age is two-fifths of the age of his mother)

  2. P + 8 = 1/2 * (M + 8) (After 8 years, he will be one-half of the age of his mother)

We can solve these two equations to find the values of P and M.

First, let's express M from the first equation: M = 5/2 * P

Then, we substitute M in the second equation: P + 8 = 1/2 * ((5/2 * P) + 8)

Solving this equation gives us P = 24.

Substituting P = 24 into the first equation gives us M = 5/2 * 24 = 60.

So, the mother is currently 60 years old. However, this is not one of the options given in the question. There might be a mistake in the problem or in the provided options.

This problem has been solved

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