A) 10
B) 46
C) 70
D) 90
Correct Answer: A
Solution :
[a] Given, LCM = 495, HCF = 5 Let 1st number = x, 2nd number = y \[\therefore \] \[xy=495\times 5\] [As, product of two numbers = HCF\[\times \]LCM] \[\Rightarrow \] \[xy=2475\] We know that, \[{{(x-y)}^{2}}={{(x+y)}^{2}}-4xy\] \[={{(100)}^{2}}-4\times 2475\] \[=10000-9900=100\] \[\therefore \] \[(x-y)=\sqrt{100}=10\] |
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