SOLUTION: For my math problem I need to answer this: Three cousins, Heather, Gena, and Jessie, were sitting around watching football on TV. �The game was really boring, and so they started

Question 541467: For my math problem I need to answer this:
Three cousins, Heather, Gena, and Jessie, were sitting around watching football on TV. �The game was really boring, and so they started talking about how old they were. �Heather (the oldest) noticed that they were all between 11 and 30. �Jessie noticed that the sum of their ages was 70. �Gena (the youngest) burst out, �Gee, if you write the square of each of our ages, all of the digits from 1 to 9 will appear exactly once in the digits of the three squares.� �How old is each person? �Clearly show and explain your thinking and the process you used to find their ages.
I was wondering if there's some kind of equation to solve for their ages or something like that? If you could help me out that would be great! Thanks so much in advance.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Heather (the oldest) noticed that they were all between 11 and 30.
Jessie noticed that the sum of their ages was 70.
Gena (the youngest) burst out, �Gee, if you write the square of each of our ages, all of the digits from 1 to 9 will appear exactly once in the digits of the three squares.�
How old is each person?
:
I don't think there is an equation that will solve this (except the sum of the ages)
Try to eliminate as much as you can, with logic
:
Throw out, 11, 12, 15, 20, 21, 22, 26, 30; squares have two digits the same
:
From the table below:
Choose a value, try another value, if that looks OK, subtract their sum from 70 and see.
:
13, 169
14, 196
-------
16, 256
17, 289
-------
18, 324
19, 361
-------
23, 529
24, 576
-------
25, 625
-------
27, 729
28, 784
-------
29, 841
:
After several failures, I chose: 19 (361); then 23 (529); then 28,(784)
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