A man's age if two-fifth the age of his mother. After 10 years he will be half his mothers age. Find the present age of his mother.
Explanation:
At present the man is two-fifth the age of his mother. ∴ Let the present ages of mand and his mother be 2x and 5x.
5 years later, ages of mand and his mother will be 2x + 10 and 5x + 10 respectively. 10 years later, man was half the age of his mother.
⇒ (2x + 10) = 1/2 × (5x + 10)
⇒ 4x + 20 = 5x + 10
⇒ 10 = x
∴ Present age of man = 2x = 20 and present age of his mother 5x = 50
Hence, option (c).
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