When 1529, 2178 and 2886 are divided by the greatest number n, the remainder in each case is r. What is the value of (3n − 2r)?

Explanation

The differences are 649 = 11 × 59, 708 = 12 × 59 and 1357 = 23 × 59, so the greatest n is 59. r = 1529 mod 59 = 54. 3n − 2r = 177 − 108 = 69.