Question

LCM of two integers a and b is 935 where A>B what is the maximum possible sum of digit of. B?​

Answer 1

Given data:

LCM of two integers A and B is 935, where A > B

To find:

The maximum possible sum of the digits of B

Step-by-step explanation:

First we 1 and prime factorize the number 935.

We get, 935 = 1 × 5 × 11 × 17

We have, 935 = 935 × 1

= 187 × 5

= 85 × 11

= 55 × 17

We have the pair of factors (935, 1), (187, 5), (85, 11) and (55, 17).

Here, 935 > 1, 187 > 5, 85 > 11 and 55 > 17.

From the condition A > B, we can say that B can be any of 1, 5, 11 and 17.

Of these, 1 = 1, 5 = 5, 11 = 1 + 1 = 2 and 17 = 1 + 7 = 8. (Finding the sum of the digits of B)

Clearly, 1 < 2 < 5 < 8.

Answer:

The maximum possible sum of the digits of B is 8.

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