Question

The sum of 2 consecutive odd integers is 92. Find the numbers.

If x represents the smaller integer, then the larger integer is
x + 1
x + 2
2x + 1

Answer 1

Short answer: x + 2

If x is odd then x + 2 is going to be the next odd integer. We should check this to see if it is right.

Does x + 2 work?
Set up the equation and solve.
x + x + 2 = 92 This is the equation. Collect like terms.
2x + 2 = 92 Subtract 2
2x = 90 divide by 2
x =45

x + 2 = 47

45 + 47 = 92.

So x + 2 is the next odd number after x.