Math Word Problems: Solving Age Problems Part 2

This is the second part of the 3-part installment posts on Solving Age Problems in the Math Word Problem Solving Series.

In this post, we continue with three more worked examples on age problems.  The first part of this series can be read here.

PROBLEM 4

Janice is four times as old as his son. In 5 years, she will be as three times as old as his son. What is Janice’s present age?

Solution

Let x be the present age of Janice’s son and 4x be her age. According to the problem, in five years, she will be three times as old as her son.

age problem 2

In five years, Janice age will be 4x + 5 and her son’s age will be x+5. If she is three times as old as her son, if we multiply her son’s age by 3, their ages will be equal. That is,

3(x + 5) = 4x + 5.

Simplifying, we have 3x + 15 = 4x + 5 giving us x = 10. Therefore, the son is 10 years old and Janice is 40 years old.  » Read more

Sitemap

Due to the growing number of articles in Mathematics and Multimedia, I have organized it into pages and lists in this sitemap page. If you want to view the complete post list, visit the Archives page.

A. Pages (the pages contains the complete list of all the posts)

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B. Mathematics Posts(Click here to view list of all math posts).

  1. How to use the summation symbol
  2. Tessellation: The Mathematics of Tiling
  3. An extensive explanation about the Epsilon-Delta definition of limits
  4. The Algebraic and Geometric Proofs of Pythagorean Theorem
  5. Why do we reverse/flip the inequality sign?
  6. Using Mathematics to Win the Lottery
  7. Arithmetic Sequences and Linear Functions
  8. Rational and Irrational Numbers
  9. Sum of the interior angles of a polygon
  10. Derivation of the Quadratic Formula

B. Multimedia Posts (click here to view list of all multimedia posts)

  1. Mathematics in Microsoft Office
  2. Using Google Sketchup in Teaching Mathematics
  3. Annotating and Zooming with the ZoomIt Software
  4. Applets For Visualizing Isometric and Three Dimensional Views
  5. Free Whiteboard Software
  6. Plotting with Ivan Johansen’s Graph Software
  7. Screencasting Tutorial:  Making a Math Video Lesson using Camstudio
  8. How to download math videos from Youtube
  9. Free Mathematics Whiteboard Applet
  10. Building widgets with Wolfram Alpha

C. GeoGebra (click here to view list of all GeoGebra posts)

  1. GeoGebra Essentials Series (10 tutorials for beginners)
  2. GeoGebra Basic Geometric Construction Series (7 tutorials for beginners)
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