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