Question

Find three consecutive odd integers whose sum is 87

Answer 1

x + (x + 2) + (x + 4) = 87
3x + 6 = 87
3x = 81
x = 27

The numbers are 27, 29, and 31

Answer 2

Step-by-step explanation: Three consecutive odd integers are represents as follows.

X ⇒ first integer

X + 2 ⇒ second integer

X + 4 ⇒ third integer

Since the sum of these is 87, our equation reads X + X + 2 + X + 4 = 87.

Simplifying on the left, we get 3x + 6 = 87.

Subtracting 6 from both sides, 3x = 81.

Now divide both sides by 3 and x = 27.

Since x, our first odd integer is 27, our next consecutive odd integer will be X + 2 or 27 + 2 which is 29 and X + 4 would be 31.