LOGICVILLE

Mathematical Puzzles

Dual Cryptograms

Cryptarithms
Anagrams Cryptograms Doublets
Logic Puzzles Magic Word Squares Sudoku
Chess Fractal Puzzles Tangrams

 

 

 

Intellectual Puzzles
Bookstore
List of Puzzles
Analytical Puzzles
Christmas Puzzles
New Year's Puzzles
Fractal Puzzles
Easter Puzzles
Nature Fractals
Encrypted Quotations
Fractal Images
Baseball Puzzles
Daily Fractal Puzzle
Math Recreations
Algebra Placement
Cryptogram Challenge
Sudoku
Tangrams
Tangram Stories
Puzzle Categories
Thanksgiving Quotes
Christmas Quotes
Christmas Logic
New Year Resolutions
Solutions
Advertise With Us

List of Puzzles

List of Solutions

Solution to Puzzle 133.  AGE PROBLEM

Mrs. Brown has four children, namely, Alice, Bill, Cathy, and Dan.  

Facts:

Two years ago, Alice was twice the age of Cathy.  

Four years ago, Bill was twice the age of Cathy.  

Two years from now, Alice would be twice the age of Dan.  

Three years ago, Cathy was twice the age of Dan.  Mrs. Brown's current age is the sum of all her children's current age.  

Solution:

The following table shows their ages which satisfies the facts above.

Alice Bill Cathy Dan
2 years ahead 14 12 9 7
1 year ahead 13 11 8 6
Now 12 10 7 5
Last year 11 9 6 4
2 years ago 10 8 5 3
3 years ago 9 7 4 2
4 years ago 8 6 3 1

Current ages:

Alice 12, Bill 10, Cathy 7, Dan 5.

Mrs. Brown's current age is 34 which the sum of the ages of the 4 children, 12+10+7+5.

Support this site

[Aaddzz Advertisement]

From Our Books Collection

Mathematical Footprints:  Discovering Mathematical Impressions All Around Us

Author:  Theoni Pappas

  cover