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put this solution on YOUR website!The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers.
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The two numbers are x & y
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"The difference of two numbers is 16." can be written;
x - y = 16
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"Three-fourths of the larger number is 14 larger than one-half of the smaller number."
.75x = 14 + .5y
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Rearrange the 1st equation:
x - y = 16
x = (y+16)
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Substitute (y+16) for x in the 2nd equation:
.75(y+16) = 14 + .5y
:
.75y + 12 = 14 + .5y
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.75y - .5y = 14 - 12
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.25y = 2
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y = 2/.25
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y = 8
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Find x: x = 8 + 16
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x = 24
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Check solutions; x = 24 and y = 8 in the 2nd equations:
.75(24) = 14 + .5(8)
18 = 14 + 4
