Three consecutive integers are such that when they are taken in increasing order and multiplied by 2, 3 and 4 respectively, they add up to 74. Find these numbers.
Let the numbers are x, x + 1, x + 2
According to the question,
2x + 3x +3 + 4x + 8 = 74
9x = 74 - 8 - 3 = 63
Thus, the numbers are, 7, 8 and 9.
13