Example Solving Word Problems: Consecutive Odd Integers Word Problem Solver

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

Solving Consecutive Integers Word Problems
Solving Consecutive Even Integers Word Problems

What You Enter

Find three consecutive odd integers such that if 4 times the second is added to 3 times the third, the result will be 27 times the first.

What You Get

Find SECOND
Find FIRST
Find THIRD

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

Given S=F+2
Given T=F+4
Given 4S+3T=27F

4S + 3(F+4) = 27F   	Comment: Substitute F+4 for S in 4S+3T=27F
4(F+2) + 3(F+4) = 27F   Comment: Substitute F+2 for T in 4S+3(F+4)=27F
4F + 8 + 3F + 12 = 27F
-20F + 8 + 12 = 0
Step F=1  Comment Simplify

Solution F=1
Solution S=3    (Substitute F=1 into S=F+2)
Solution T=5    (Substitute F=1 into T=F+4)
End

Solution: F=1, S=3, T=5