At present A is younger than B by 8 years If 4 years ago their ages were in me ratio 1 2 then what i...........

Quantitative Aptitude (CGL) Problems based on Ages

At present, A is younger than B by 8 years. If 4 years ago, their ages were in me ratio 1 : 2, then what is the present age of B (in years)?

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SSC CGL 12th April 2022 Shift-1

- Let's assume A's current age is "x" years.

- Then B's current age is "x + 8" years.

- Four years ago, A's age was "x - 4" and B's was "(x + 8) - 4" or "x + 4".

- The age ratio 4 years ago is given as 1:2. So,

\frac{x - 4}{x + 4} = \frac{1}{2}

- By cross-multiplying, \(2(x - 4) = x + 4\).

- Simplify to get \(2x - 8 = x + 4\).

- Solve for x: \(x = 12\).

- So, A's current age is 12, and B's current age is \(12 + 8 = 20\).

- Option 1: 11 is incorrect since it would make A too young compared to the ratio.

- Option 2: 20 is correct as calculated.

- Option 3: 12 is A's age, not B's.

- Option 4: 18 doesn't satisfy the age difference.

Option 2: 20 is the correct answer for B's age.

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