Question

The sum of LCM and HCF of two numbers is 854. If the LCM is 60 times the HCF and one of the numbers is 70, then the other number is:

• A. 160
• B. 164
• C. 168
• D. 172

Answer 1

Answer: (C)

168

Answer 2

Let HCF be $x$, so LCM = $60x$. $x + 60x = 854 \Rightarrow 61x = 854 \Rightarrow x = 14$. LCM = $60 \times 14 = 840$. The product of the numbers is $70 \times \text{other number} = 14 \times 840$. Hence, the other number is 168.