Three consecutive integers are such that when they are taken in increasing order and multiplyied be 2,3 and 4 respectively they add up to74. Find these numbers

The integers art 7,8 and 9

Step-by-step explanation:

Let the first of the integers be x. Since they are consecutive, the next would be x + 1 and the last would be x + 2

Now we multiply these integers by 2,3 and 4 respectively.

Thus, we have 2 (x) + 3 (x+1) + 4 (x+2), all these add up to be 74

Opening the brackets we have;

2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 74-11

9x = 63

x = 63/9

x = 7

The integers are thus x = 7, x + 1 = 7 + 1 = 8 and x + 2 = 7 + 2 = 9