Answer:
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
