Problems on Ages Questions and Answers

Q: The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

Write the condition algebraically.\[ A + B = (B + C) + 12 \]The \( B \) cancels from both sides:\[ A - C = 12 \]So C is 12 years younger than A. B's age never matters - which is why it is not given.

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91.

The total age of A and B is 12 years more than the total age of B and C. C is how many year younger than A?

A.10 years
B.11 years
C.12 years
D.13 years

Answer: C

Write the condition algebraically.

\[ A + B = (B + C) + 12 \]

The \( B \) cancels from both sides:

\[ A - C = 12 \]

So C is 12 years younger than A. B's age never matters - which is why it is not given.

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92.

Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7 : 9, how old is Sachin?

A.16 years
B.17 years
C.24.5 years
D.None of these

Answer: C

Let Rahul's age be \(x \) years .

Then, Sachin's age = \((x-7)\) years

\(\therefore \) \(\frac{x - 7}{x}=\frac{7}{9}\)

\(\Rightarrow 9x - 63 = 7x\)

\(\Rightarrow 2x = 63\)

\(\Rightarrow x = 31.5\)

Hence, Sachin's age = \((x-7)\) = 24.5 years

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