Exams › SSC CGL (Prelims) › General

If (a + b) : (a - b) = 7 : 3, then find the ratio (a^2 + b^2) : (a^2 - b^2).

1. 29:21
2. 58:42
3. 31:25
4. 17:13

Correct answer: 29:21

Solution

Cross-multiplying gives 3(a+b) = 7(a-b), leading to a = 5b/2, so take a = 5k, b = 2k. Then a^2 + b^2 = 29k^2 and a^2 - b^2 = 21k^2, giving the ratio 29 : 21.

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