Exams › SSC CGL (Prelims) › General

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

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

Correct answer: 29:21

Solution

From $(a+b):(a-b)=7:3$, let $a+b=7k$ and $a-b=3k$. Then $a=5k$ and $b=2k$. So $a^2+b^2=25k^2+4k^2=29k^2$ and $a^2-b^2=25k^2-4k^2=21k^2$. Hence the ratio is $29:21$.

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