The sum of two consecutive integers is 47. What are the two integers?

1. Let n represent the first integer, so n plus 1 represents the very next consecutive integer. 2. Their sum is 47: n plus (n plus 1) equals 47. 3. Combine like terms: 2n plus 1 equals 47. 4. Subtract 1 and divide by 2: 2n equals 46, so n equals 23. 5. The next consecutive integer is n plus 1, which is 24, so the integers are 23 and 24. 6. 22 and 25 are not consecutive at all, since they are three apart rather than one apart. 7. 24 and 25 are consecutive and sum correctly-looking, but 24 plus 25 equals 49, not the 47 the problem requires. _Source: OpenStax Prealgebra (CC BY 4.0), Ch 9 "Math Models and Geometry", section 9.1 Use a Problem Solving Strategy_