SOLUTION: The second of two numbers is 11 les than 5 times the first. if three times the first plus the second equals 53. find the numbers

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Question 1200437: The second of two numbers is 11 les than 5 times the first. if three times the first plus the second equals 53. find the numbers
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Follow the description exactly!
(Your description is slightly ambiguous.)

8 and 29


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If x is first number, then 5x-11 is second number.

The ambiguity is in the second part allowing confusion of "three times" what.
The part could be taken as 3%28x%2B5x-11%29 to be equated to 53.
Going with this,
3%28x%2B5x-11%29=53
3%286x-11%29=53
18x-33=53
18x=53%2B33
18x=86
x=86%2F18=43%2F9----------probably not what you want

Other interpretation might be better.
3x%2B%285x-11%29=53
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8x-11=53
8x=64
highlight%28x=8%29----------first number.
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5x-11=5%2A8-11=40-11=highlight%2829%29------second number.