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

Short 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.

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