The LCM of two number is 12 times their HCF. The sum of HCF and LCM is 403. If one number is 93 find the other.

134

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124

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128

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None of these

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Solution

The correct option is B 124
It is given that LCM = 12 times HCF
also LCM +HCF = 403
So, 13 HCF = 403, $\Rightarrow$ HCF = 31
LCM = 372
Also we know that
HCF $\times$ LCM = Number (1) $\times$ Number (2)
$31 \times 372 = 93 \times N 2 ∴ N 2 = 124$

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