LCM of 2 natural numbers p and q where p gt q is 935 What is the maximum possible sum of the digits ...........

Explanation:

We know, 935 = 5*11*17
Let p = hx
q = hy
Where h is the hcf of p and q.
Therefore, lcm of p and q= hxy
We have lcm = 935.
hxy = 935
If h = 1,
Then p = 935
q = 1
Sum of digits of q = 1
If h = 5,
p = 5*17 = 85
q = 5*11 = 55
Sum of digits of q = 10
If h = 11,
p = 11*17 = 187
q = 11*5 = 55
Sum of digits of q = 10
If h = 17,
p = 17*11 = 187
q = 17*5 = 85
Sum of digits of q = 13
Maximum possible sum of digits of q = 13.