Question 174001: The sum of two numbers is 15. Three times on of the numbers is 11 less than five times the other. Find the numbers . Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The sum of two numbers is 15. Three times on of the numbers is 11 less than five times the other. Find the numbers .
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Let x = one of the two numbers
and y = the other number
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x + y = 15 (equation 1)
3x = 5y - 11 (equation 2)
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Solving equation 1 for y:
x + y = 15
y = 15 - x
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Substitute the above into equation 2 and solve for x:
3x = 5y - 11
3x = 5(15-x) - 11
3x = 75 - 5x - 11
8x = 75 - 11
8x = 64
x = 8
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Substitute the above into equation 1 and solve for y:
x + y = 15
8 + y = 15
y = 7
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The two numbers are 7 and 8
