The LCM of two numbers is 250 times their HCF. The sum of LCM and HCF is 4016. If one of the numbers is 640, then what is the other numbers?
Answer & explanation
Correct answer: option 3
L.C.M. = 250 × H.C.F.
L.C.M. + H.C.F. = 4016
250 × H.C.F. + H.C.F. = 4016
251 H.C.F. = 4016
H.C.F. = \(\frac{4016}{251}\) = 16
We know that,
HCF × LCM = product of two numbers
16 × 250 × 16 = 640 × ?
? = 100