Math Word Problems: Solving Number Problems Part 4

This is the fourth and last part of the Number Word Problem Solving Series, the first subtopic in the Word Problem Solving Series.   In this post, I will post more word problems with solutions. We start with the tenth problem in the series.


There are three consecutive numbers. The sum of the first two is 20 more than the third. What are the numbers?


Let x be the first number, x + 1 be the second number, and x + 2 be  third number.  As the problem says, the sum of the first two, x +(x + 1) is 20 more than the third. This means that if we add 20 to the third number, (x + 2) + 20, it will be equal to the sum of the sum of the first two. We now set up the equation

x + (x + 1) = (x + 2) + 20.

Simplifying, we have 2x + 1 = x + 22. This means that x = 21. So, the three consecutive numbers are 21, 22, and 23. » Read more