<PRE><B>Question 174001</B>
    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</PRE>