Exams › SSC CGL (Prelims) › General

If \(\sqrt{x}+\sqrt{y}=7\) and \(\sqrt{x}-\sqrt{y}=3\), what are the values of x and y?

1. x=16, y=9
2. x=49, y=16
3. x=36, y=1
4. x=25, y=4

Correct answer: x=25, y=4

Solution

Adding the equations gives \(2\sqrt{x}=10\), so \(\sqrt{x}=5\) and \(x=25\). Subtracting gives \(2\sqrt{y}=4\), so \(\sqrt{y}=2\) and \(y=4\).

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