The L.C.M. of two numbers is 12 times their H.C.F. The sum of H.C.F. and L.C.M. is 403. If one number is 93… · ABC26GN0504
Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: M.B.A. 2007
The L.C.M. of two numbers is 12 times their H.C.F. The sum of H.C.F. and L.C.M. is 403. If one number is 93, find the other.
(a)124
(b)128
(c)134
(d)None of these
Answer
Answer (as printed): A
Explanation
Let H.C.F be $h$ and L.C.M. be $l$. Then, $l=12 h$ and $l+h=403$. $\therefore \quad 12 h+h=403$ or $h=31$. So $l=(403-31)=372$. Hence, other number $=\left(\frac{31 \times 372}{93}\right)=124$.
Explanation as extracted from the printed page; notation may be imperfect.