Home » Aptitude » LCM and HCF » Question
  1. The sum of HCF and LCM of two numbers is 403 and their LCM is 12 times their HCF. If one number is 93, then find the another number.
    1. 115
    2. 122
    3. 124
    4. 138
    5. None of the above
Correct Option: C

Let LCM = m, HCF = n,

According to the question,
m = 12n, .......(i)
and m + n = 403.......(ii)
⇒ 12n + n = 403 [from Eq.(i)]
⇒ 13n = 403
∴ n = 403/13 = 31
∴ m = 12 x 31 = 372

Let the another number = k
∴ 93 x k = 372 x 31
[as product of two numbers HCF x LCM]
⇒ k = (372 x 31)/93 = 124



Your comments will be displayed only after manual approval.