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Example Solving Word Problems: Consecutive Even Integers Word Problem Solver

See Other Equation Word Problem Examples solved by the Algebra Word Problem Solver.

What You Enter

The sum of three consecutive even integers is 78. What are the integers.

What You Get
Find FIRST
Find SECOND
Find THIRD

Let F=FIRST
Let S=SECOND
Let T=THIRD

Given F+S+T=78
Given S=F+2
Given T=F+4
F+F+2+F+4=78   Comment: Expand parentheses
F+F+2+F+4=78   Comment: Substitute F+4 for S in F+F+2+F+4=78
F+F+2+F+4=78   Comment: Substitute F+2 for T in F+F+2+F+4=78
F=24  Comment Simplify

Solution F=24
Solution S=26     (Substitute F=24 into S=F+2)
Solution T=28     (Substitute F=24 into T=F+4)
End
Solution: F=24, S=26, and T=28

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