Question

LCM of 2 natural number q and p where q>pis935 what is the maximum possible sum of digital of p?
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Answer 1

Answer:

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.

The question is "What is the maximum possible sum of the digits of q?"

Hence the answer is "13"