Question

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 {OPTIONS}
a.120
b.124
c.116
d.112

Answer 1

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