Discussion
"I am five times as old as you were, when I was as old as you are", said a man to his son. Find out their present ages, if the sum of their ages is 64 years ?
Answer: B
Let the present age of the man be '\(P\)' and son be '\(Q\)',
Given, \( P + Q = 64 \) or \(Q = (64 - P)\)
Now the man says "I am five times as old as you were, when I was as old as you are",
So, \(P = 5[B - (P - Q)]\)
We get \(6P=10Q\)
Substitute value for \(Q\)
\(6P = 10(64 - P),\)
Therefore, \(P\) = 40 and \(Q\) = 24
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