two numbers are in ratio 4:3 if the difference of their cube is 37 find the numbers
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ab=43=k
a=4k;b=3k
⇒a2−b2=(4k)2−(3k)2=16k2−9k2=63
⇒7k2=63
⇒k2=9
⇒k=±3
If ⇒k=±3, then numbers are
⇒a=12;b=9
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