LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?
Answer & explanation
Correct answer: option 4
LCM = 56 × HCF
HCF + LCM = 1710
Let, HCF = x and LCM = 56x
So, x + 56x = 1710
⇒ 57x = 1710
⇒ x = \(\frac{1710}{57}\) = 30
Then, HCF = 30 and LCM = 30 × 56 = 1680
One number = 240
Let, another number = y
Therefore, 30 × 1680 = 240 × y
⇒ y = \(\frac{30 × 1680}{240}\) = 210