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Question 491545: one number is 5 less than another. if 5 the larger is subtracted form 8 times the smaller, the result is 11
Answer by oberobic(2304)   (Show Source):
You can put this solution on YOUR website! List what you're given:
x = one number
y = another number
We can define x as the larger number, so
y = x-5
or
x = y+5
.
If 5 times the larger number is subtracted from 8 times the smaller number, the result is 11,
which can be written as:
8y - 5x = 11
.
Substitute for y.
8(x-5) - 5x = 11
8x -40 -5x = 11
3x -40 = 11
3x = 51
x = 17
.
y = x-5
y = 17-5
y =12
.
Check by substituting these values.
8y - 5x = ??
8(12) - 5(17) = ??
96 - 85 = 11
.
Answer:
The two numbers are 12 and 17.
.
Done.
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