Modeling with Equations Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

hard
The sum of three consecutive integers is 72. Find them.

Solution

  1. 1
    Let the integers be n,n+1,n+2n, n+1, n+2. Sum: n+(n+1)+(n+2)=72n + (n+1) + (n+2) = 72.
  2. 2
    Simplify: 3n+3=723n + 3 = 72, so n=23n = 23. The integers are 23, 24, 25.

Answer

23,24,2523, 24, 25
Consecutive integers differ by 1. Expressing them all in terms of one variable (nn) reduces the problem to a single equation.

About Modeling with Equations

Translating a real-world situation into one or more equations that capture its mathematical relationships and constraints.

Learn more about Modeling with Equations →

More Modeling with Equations Examples

Example 1 easy

A phone plan costs [formula]0.10 per text. Write an equation for the monthly cost [formula] if you s

Example 2 medium

Two trains leave the same station traveling in opposite directions at 50 mph and 70 mph. After how m

Example 3 easy

Write an equation: 'A number doubled and increased by 7 equals 25.'

← All Modeling with Equations Examples Modeling with Equations Concept