Two different numbers are divided by the same divisor and left remainder 11 and 17 respectively and ...........

Quantitative Aptitude ( CCS) Number System

Two different numbers are divided by the same divisor and left remainder 11 and 17 respectively and when their sum was divided by the same divisor, remainder was 4. What is the divisor?

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Explanation:

Let the divisor = D
so, first number = D*a + 11 and second number = D*b +17
so sum of numbers = D*(a + b) + 28
given that remainder is 4 so, the number is 24