SOLUTION: The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.

Question 245914: The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve the system.

John

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The difference of two numbers is 19. The larger number is 3 more than twice the smaller. Find the numbers.
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Equations:
x - y = 19
Comment: This means x is the larger number.
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x = 2y+3
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Substitute for "x" in the 1st equation and solve for "y":
(2y+3) - y = 19
y + 3 = 19
y = 16
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Since x = 2y+3, x = 2*16+3 ; x = 35
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The numbers are 16 and 35
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Cheers,
Stan H.
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