SOLUTION: The larger of two numbers is twice the smaller. Their sum is three times their difference. Find the numbers.
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Question 941675: The larger of two numbers is twice the smaller. Their sum is three times their difference. Find the numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The larger of two numbers is twice the smaller.
a = 2b
Their sum is three times their difference.
a + b = 3(a-b)
a + b = 3a - 3b
b + 3b = 3a - a
4b = 2a
replace a with (2b)
4b = 2(2b)
4b = 4b, so we don't know any more than when we started
:
We have to assume their is not a unique solution, the 2nd equation is true for any two number where one is twice the other
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