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?

1680 171 210 57

210

LCM + HCF = 170 56HCF + HCF = 1710           57HCF = 1710              HCF = 30 LCM = 1710 - 30 = 1680 Second number = \(\frac{1680 × 30}{240}\) = 210