Exams › SSC CGL (Prelims) › General

If $(x+y):(x-y)=7:3$, find $(x^3+y^3):(x^3-y^3)$.

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

Correct answer: 133:117

Solution

Let $x+y=7k$ and $x-y=3k$. Then $x=5k$ and $y=2k$. So, $x^3+y^3=125k^3+8k^3=133k^3$ and $x^3-y^3=125k^3-8k^3=117k^3$. Hence the ratio is $133:117$.

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