The HCF of two numbers 65 and 104 is 13. If LCM of 65 and 104 is $40x$, then the value of $x$ is :

Question

Accepted Answer

## Model Answer **(B) 13** Using HCF × LCM = Product of two numbers: $13 	imes 40x = 65 	imes 104$ → $40x = 520$ → $x = 13$. ## Explanation Apply the property: HCF(a, b) × LCM(a, b) = a × b. Here, 13 × 40x = 65 × 104 = 6760, so 40x = 520, giving x = 13. Always use this property when HCF is given and LCM is partly known.

Mathematics — Standard (041) — CBSE Class 10 board question