Question

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

Answer 1

The integers art 7,8 and 9

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