Exams › SSC CGL (Prelims) › General

Given that (x + y) : (x - y) = 7 : 3, find the value of (x^3 + y^3) : (x^3 - y^3).

1. 133 : 117
2. 117 : 133
3. 125 : 8
4. 117 : 125

Correct answer: 133 : 117

Solution

Setting x + y = 7k and x - y = 3k gives x = 5k and y = 2k. Then x^3 = 125k^3 and y^3 = 8k^3, so the required ratio is (125 + 8) : (125 - 8) = 133 : 117.

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