Question

When the largest 3 digit number is divided by 15 the remainder is 9 .Find the quotient.

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Answer 1

Answer:

The LCM of 5,9 and 15 is 45. The largest 3-digit number is thus 45x22 = 990. Next add 3 to 990 to get 993, which is the desired number.

Check: 993/5 = 198 as quotient and 3 as remainder.

993/9 = 110 as quotient and 3 as remainder.

993/15 = 66 as quotient and 3 as remainder.

Answer is 993.