SOLUTION: A greater number is seven less than three times the smaller number. If the sum of the two numbers is 13 find the number

Question 914413: A greater number is seven less than three times the smaller number. If the sum of the two numbers is 13 find the number
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Let s = the smaller number
Let g = the greater number
g = 3s - 7
s + g = 13
solve for g by adding -s to each side
g = 13 - s
Substitute (13 - s) for g in g = 3s - 7
(13 - s) = 3s - 7
add s to each side
13 = 4s - 7
add 7 to each side
20 = 4s
divide each side by 4
5 = s
Since g = 3s - 7, g = 3(5) - 7
g = 15 - 7
g = 8
So the numbers are 5 and 8 .

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