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Multiple Choice
The sum of two consecutive odd integers is . Find the integers
A
and
B
87 and 89
C
85 and 91
D
84 and 92
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Verified step by step guidance
1
Let the first odd integer be represented by the variable \(x\). Since the integers are consecutive odd integers, the next odd integer can be represented as \(x + 2\).
Write an equation expressing the sum of these two consecutive odd integers: \(x + (x + 2) = 176\).
Combine like terms on the left side of the equation: \$2x + 2 = 176$.
Isolate the variable term by subtracting 2 from both sides: \$2x = 176 - 2$.
Solve for \(x\) by dividing both sides by 2: \(x = \frac{176 - 2}{2}\). Then find the second integer by calculating \(x + 2\).