## 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.

PROBLEM 10

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

Solution

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

## Handwrite and Solve Math Equations with Web Equation

Web Equation by Vision Objects is a good math handwriting recognition tool. I have discovered it recently via Stumbleupon. From experience, I think it is slightly better than Windows 7’s Math Input Panel in terms of handwriting recognition.

The page is very intuitive to use. Just use the mouse or a pen to write the mathematical expression on the “yellow zone.” The mathematical expression is recognized and the result is displayed at the bottom of the page.

Mathematical expressions and equations created in Web Equations can be  solved with Wolfram Alpha. Just click the Compute with Wolfram Alpha button. In addition, the Latex and Math ML codes are also generated as you write.

The deadline for the Mathematics and Multimedia Carnival has been extended until September 26, 2012.  If you have a blog and want exposure, you may want to submit your entries here.

The latest blog carnival can be found here.  For a complete list of Math and Multimedia Carnival, click here.

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