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