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NIELIT 2021 Dec Scientist A - Section A: 26

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Assume HCF =$x$ then LCM=$45x$

now according to the given question $LCM+HCF=1150$

So $x+45x=1150\implies46x=1150\implies x=\frac{1150}{46}=25$

$\therefore  HCF=25,LCM=1125$

$\because$ HCF*LCM=product of 2 numbers

it is given that one  of those numbers is $125$

Assume the second number is $y$

so $25*1125=125*y$

$y=225$

So second number is $225.$

Option $(B)$ is correct.
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