**The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one of the numbers is 420, the other number is**

**Solution: **

LCM = 28 HCF

LCM + HCF = 1740

=> 28 HCF + HCF = 1740

HCF = 1740/29 = 60 and LCM = 28X60

if a and b are two numbers, then

LCM of (a & b) X HCF of (a & b) = aXb

28X60X60 = x X 420 = > x = 240

So, the other number is 240

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