Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: 2007 · Marks: · Difficulty:
The sum of two numbers is 45 . Their difference is $\frac{1}{9}$ of their sum. Their L.C.M. is
(a)100
(b)150
(c)200
(d)250
Answer
Answer (as printed): A
Explanation
Let the two numbers be $a$ and $b$. $$\text { Then, } a+b=45 \text { And, } a-b=5$$ Adding (i) and (ii), we get: $2 a=50$ or $a=25$. Putting $a=25$ in (i), we get: $b=20$. $$\therefore \quad \text { L.C.M. }=5 \times 4 \times 5=100 .$$
Explanation as extracted from the printed page; notation may be imperfect.