vonsmiley said:

What does "x" stand for? How did you arrive that this equation?

For instance, if the exercise had said the following:

Find three numbers, where the second is three times as large as the first and the third is four times as large as the first, such that the difference of twice the sum of the second and third and 91 is equal to the first.

...then your equation would have fit:

. . . . .first number: x

. . . . .three times as large: 3x

. . . . .four times as large: 4x

. . . . .sum: 3x + 4x

. . . . .twice the sum: 2(3x + 4x)

. . . . .difference: 2(3x + 4x) - 91

. . . . .equals: 2(3x + 4x) - 91 = x

But this isn't what the exercise said, as near as I can tell. ("Consecutive integers", of course, are one apart from each other, not many times the size of each other, is part of my confusion.)

Please reply showing your step-by-step reasoning, as demonstrated above. Thank you.

Eliz.