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The LCM of two numbers is 12 times their HCF. The sum of the HCF and LCM is 403. If one of the number is 93, then the other is
Given, LCM of two numbers is 12 times their HCF
$$=$$> LCM = 12 HCF
Sum of HCF and LCM is 403
$$=$$> HCF + LCM = 403
$$=$$> HCF + 12 HCF = 403
$$=$$> 13 HCF = 403
$$=$$> HCF = 31
$$\therefore\ $$LCM = 12 HCF = 12(31)
$$=$$> LCM = 372
Let the second number be $$x$$
Product of numbers = Product of their LCM and HCF
$$=$$> 93 x $$x$$ = 372 x 31
$$=$$> $$x$$ = 124
$$\therefore\ $$The other number is 124
Hence, the correct answer is Option B
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