When 13511, 13903 and 14589 are divided by the greatest number 'n', the remainder in each case is 'm'. The value of (n + m) is

Using the greatest common divisor method for same remainders, n is the highest common factor of the differences between the given numbers. The differences are 14589 minus 13903 equals 686, 13903 minus 13511 equals 392, and 14589 minus 13511 equals 1078. The highest common factor of 686, 392, and 1078 is 98, so n equals 98. When 13511 is divided by 98, the quotient is 137 and the remainder m is 85, making the value of (n plus m) equal to 98 plus 85, which is 183.

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