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):
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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