Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
The product of the L.C.M. and H.C.F. of two numbers is 24. The difference of two numbers is 2. Find the numbers.
(a)2 and 4
(b)6 and 4
(c)8 and 6
(d)8 and 10
Answer
Answer (as printed): B
Explanation
Let the numbers be $x$ and $(x+2)$. Then, $x(x+2)=24$ $\Leftrightarrow \quad x^{2}+2 x-24=0$ $\Leftrightarrow \quad(x-4)(x+6)=0 \Leftrightarrow x=4$. So, the numbers are 4 and 6.
Explanation as extracted from the printed page; notation may be imperfect.