The LCM of two numbers is 12 times their HCF. The sum of their HCF and LCM is 403. If one of the numbers is 93, then the other is:

 a) 124
 b) 120
 c) 116
 d) 112
SSC CHSL-2015

124.
Solution
12HCF = LCM
LCM + HCF = 403
12HCF + HCF = 403
Solving, HCF = 31 , LCM = 372
Let k be the other number.
LCM x HCF = 93 x k
k = (372 x 31)/93 = 124
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