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Question
A man is twice as old as his son today. Ten years ago, he was thrice as old as his son. What is the man's age today?
Answer
40 years
Explanation
Let the son's age today be x years.
Then according to the given condition, man's age = 2x
Now, ten years ago, age of son = (x - 10) years
And, age of man = (2x - 10)
Given, the man's age was thrice the age of his son ten years ago
⇒ (2x - 10) = 3(x - 10)
⇒ 2x - 10 = 3x - 30
⇒ 3x - 2x = 30 - 10
⇒ x = 20 years
Since x = 20 years = present age of son, so present age of father would be 2x = 2 ×20 = 40 years.
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