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The sum of two consecutive integers is 47. Find the integers.
A22 and 25
B24 and 25
C23 and 24
D21 and 26
Answer & Solution
Correct answer: C. 23 and 24
1. Let n equal the first integer, so the next consecutive integer is n plus 1.
2. The sum translates to n plus (n plus 1) equals 47.
3. Combine like terms: 2n plus 1 equals 47.
4. Subtract 1 and divide by 2 to get n equals 23, so the integers are 23 and 24.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_
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