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PROBLEM:
The sum of two consecutive odd numbers is 32. Find the numbers.
EQUATION:
x + (x + 2) = 32, where x is the first of the two consecutive odd numbers and x + 2 is the next odd number.
SOLUTION:
[tex]\sf x + (x +2) = 32[/tex]
[tex]\sf 2x +2 = 32[/tex]
[tex]\sf 2x +2 - 2 = 32 - 2 \: (Subtraction \: property \: of \: equality)[/tex]
[tex]\sf 2x = 30[/tex]
[tex]\sf \frac{2x}{2} = \frac{30}{2} \: \textsf{(Division property of equality)}[/tex]
[tex]\sf x = \boxed{\sf 15}[/tex]
Solve for x + 2.
[tex]\sf x +2 = 15 +2 = \boxed{\sf 17}[/tex]
Therefore, the numbers are 15 and 17.
ANSWER:
15 and 17
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