AP ICET 2nd May 2018 Shift-2

Question 85

The sum of the greatest common divisor (GCD) andthe least common multiple (LCM) is 403 and their LCMis 12 times their GCD. If one of those numbers is 124, then the other number is

Solution

We are given that LCM = 12*GCD and also LCM + GCD = 403

Combining the two, we get GCD = 31 and hence, LCM = 12*31

Now, we know that 124*Other number = 31*(12*31)
Hence, the other number = 93 


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