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Set up a system of equations. Let the numbers be x, y. X + Y = 15
3X = 5Y-11 Solve the first equation for Y.
Y = 15-X
Plug it into the second equation.
3X = 5(15-X) - 11
And solve for X.
3X = 75 - 5X - 11
3X = 64 - 5X
8X = 64
X = 8 Plug X back into the original first equation.
8 + Y = 15
Y = 7 X = 8, Y = 7

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Q: The sum of two numbers is 15 three times one of the numbers is 11 less than five times the other What are the numbers?
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