SOLUTION: The difference of two positive numbers is 8 . The larger number is twenty-one less than twice the smaller number. Find the numbers.

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Question 1123787: The difference of two positive numbers is
8
. The larger number is twenty-one less than twice the smaller number. Find the numbers.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let's the larger number be and the smaller number
if the difference of two positive numbers is , we have
...eq.1
if the larger number is than the smaller number, we have
........eq.2

to find the numbers, solve this system:
...eq.1
........eq.2
----------------------------substitute eq.2 from eq.1





substitute in eq.2, and solve for
........eq.2



so, the larger number is and the smaller number is




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