SOLUTION: of the 2 numbers 4 times the smaller one is less than 3 times the larger one by 5. but, the sum of the numbers is larger than 6 times their difference by 6. find the numbers

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Question 896960: of the 2 numbers 4 times the smaller one is less than 3 times the larger one by 5. but, the sum of the numbers is larger than 6 times their difference by 6. find the numbers
Answer by lwsshak3(11628) About Me  (Show Source):
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of the 2 numbers 4 times the smaller one is less than 3 times the larger one by 5. but, the sum of the numbers is larger than 6 times their difference by 6. find the numbers
***
let x=smaller number
let y=larger number
..
3y-4x=5
x+y-6(y-x)=6
..
-4x+3y=5
x+y-6y+6x=6
..
-4x+3y=5
7x-5y=6
..
-20x+15y=25
21x-15y=18
add
x=43
3y=5+4x=177
y=59
smaller number=43
larger number=59