I. The different between the squares of two numbers is 275. If the sq root of the smaller of the two numbers is 5, then Find the cube of the larger number
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Answer:
∴(x)
2
−(x−5)
2
=65
⇒x
2
[x
2
+25−10x]=65
⇒x 2
−x2
−25+10x=65
⇒10x=90
∴x=9
∴ Larger number =x=9
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