Answer:
Step-by-step explanation:
x - an integer then 2x + 1 is an odd number (the smallest one)
consecutive odd numbers increase by 2
so the next odd number (the middle number) is:
2x + 1 + 2 = 2x + 3
and the third (the largest) consecutive is:
2x + 3 + 2 = 2x + 5
the sum of the the two largest numbers is:
2x + 3 + 2x + 5
3 times the smallest number is:
3(2x + 1)
the sum of the two largest is seven less than three times the smallest, so:
2x + 3 + 2x + 5 = 3(2x + 1) - 7
4x + 8 = 6x + 3 - 7
-6x -6x
-2x + 8 = -4
-8 -8
-2x = -12
÷(-2) ÷(-2)
x = 6
2x+1 = 2•6+1 = 13
2x+3 = 2•6+3 = 15
2x+5 = 2•6+5 = 17
Check:
2x+3+2x+5 = 15+3+15+5 = 38
38+7 = 45
45÷3 = 15
