Subject: General Aptitude · Chapter: H.C.F. and L.C.M. of Numbers · Exam: · Marks: · Difficulty:
The ratio of two numbers is 3 : 4 and their LCM is 120. The sum of numbers is [SSC-CHSL (10 + 2) Exam, 2015]
(a)70
(b)140
(c)35
(d)105
Answer
Answer (as printed): A
Explanation
Let the numbers are $3 x$ and $4 x$ So, $\mathrm{HCF}=x$ $$\because \mathrm{HCF} \times \mathrm{LCM}=\text { Product of numbers }$$ $\Rightarrow x \times 120=3 x \times 4 x$ $\Rightarrow x \times 120=12 x^{2}$ $\Rightarrow 120=12 x$ $\Rightarrow x=10$ ∴ Numbers are 30 and 40. ∴ Sum of two numbers $=30+40=70$
Explanation as extracted from the printed page; notation may be imperfect.