SOLUTION: The average of two numbers is 15

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Question 1151329: The average of two numbers is 15
Found 4 solutions by MathLover1, MathTherapy, Alan3354, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
let two numbers be a and b
if the average of two numbers is 15, we have
%28a%2Bb%29%2F2=15

a%2Bb=15%2A2

a%2Bb=30
so, numbers could be:
a=1 and b=30
a=2 and b=28
:
so on
:
a=15 and b=15
:
so on
:
a=30 and b=1

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

The average of two numbers is 15
SO!!!

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Some of the examples by the other tutor have an average of 15.5, not 15.
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But it's irrelevant since you didn't ask a question.
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My personal favorites are -100 & 130.
The average is 15.

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


It's true you didn't ask a question....

But a response is worthwhile because it shows you a problem solving technique that can be used in my types of problems where in fact you are working with the average of two numbers.

The average of two numbers is the number halfway between the two numbers. So the two numbers can be any numbers that are the some distance either side of the average.

Algebraically, two numbers with an average of 15 are 15+a and 15-a, where a is any number you want it to be, including 0.

a=0: 15+0 and 15-0, or 15 and 15
a=1: 15+1 and 15-1, or 16 and 14
etc....

You could even do something ugly like 15+3pi and 15-3pi....

Think of using this technique when you run into other problems involving the average of two numbers....