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The sum of two numbers is 15 and sum of their squares is 113; then numbers are

The correct choice is: 7, 8 Let the numbers be \(x\) and \(15-x\): \(x^2+(15-x)^2=113 \Rightarrow x^2-15x+56=0 \Rightarrow x=7\) or \(8\). Check: \(7+8=15\), \(49+64=113\).…

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The sum of two numbers is 15 and sum of their squares is 113; then numbers are

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Correct answer A

The correct choice is: 7, 8

Let the numbers be xx and 15−x15-x: x2+(15−x)2=113⇒x2−15x+56=0⇒x=7x^2+(15-x)^2=113 \Rightarrow x^2-15x+56=0 \Rightarrow x=7 or 88.

Check: 7+8=157+8=15, 49+64=11349+64=113.

Hence the answer is 7, 8.

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  • NCHM Joint Entrance Examination (NCHM JEE)

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