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

x+2

Explanation:

Answer 2

45, 47

Explanation:

Their average, 92/2 = 46, is the even integer between them. The two integers of interest are 45 and 47.

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Any consecutive integers of the same parity (odd or even) differ by 2. If x is the smaller, then x+2 is the larger.

We suppose you're supposed to write the equation ...

x + (x+2) = 92

2x = 90 . . . . . . subtract 2

x = 45 . . . . . . . .the smaller integer is 45; the larger one is x+2 = 47.