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.

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