alleryStart learning →Find three consecutive even integers whose sum is 84.
A26, 28, and 30
B24, 26, and 28
C28, 30, and 32
D26, 30, and 34
Answer & Solution
Correct answer: A. 26, 28, and 30
1. Consecutive even integers increase by two each time, so if the first is n, the next two are n plus 2 and n plus 4.
2. The sum translates to n plus (n plus 2) plus (n plus 4) equals 84.
3. Combine like terms: 3n plus 6 equals 84.
4. Subtract 6 and divide by 3 to get n equals 26, so the integers are 26, 28, and 30.
5. Check: 26 plus 28 plus 30 equals 84.
_Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 3 "Math Models", section 3.1 Use a Problem-Solving Strategy_
Keep practising Math Models
Browse all Math Models questions for CAASPP Mathematics, or explore more Mathematics topics.
Related questions
The plural of the word vertex, used for the corners of a triangle, is what?By definition, what makes a triangle a right triangle?A triangular church window has an area of 90 square meters and a base of 15 meters. What iA triangular garden has a perimeter of 24 feet, and two of its sides measure 4 feet and 9 Two angles of a triangle measure 55 degrees and 82 degrees. What is the measure of the thiFor a triangle with base b and height h, what formula gives its area?For a triangle with side lengths a, b, and c, what formula gives its perimeter?For any triangle, what is the sum of the measures of its three interior angles?