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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
A person’s present age is two fifth of the age of his
mother. After 8 years, he will be one-half of the age
of his mother. What is the present age of his mother?
Solution
Present Age of the Mother
Let mother’s present age = \(M\), person’s present age = \(P\).
Given:
\(P = \frac{2}{5} M\) ...(1)
After 8 years:
\(P + 8 = \frac{1}{2} (M + 8)\) ...(2)
Substitute \(P\) from (1) into (2):
\[
\frac{2}{5}M + 8 = \frac{1}{2}(M + 8)
\]
Multiply both sides by 10 to clear denominators:
\[
4M + 80 = 5M + 40
\]
\[
80 - 40 = 5M - 4M
\]
\[
40 = M
\]
Answer: The mother’s present age is 40 years.
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