SOLUTION: the difference between two numbers is tripled. the result is decreased by 1. if the lesser value of the two numbers is 4 the result is 8.3. find the greater number

Question 853242: the difference between two numbers is tripled. the result is decreased by 1. if the lesser value of the two numbers is 4 the result is 8.3. find the greater number
Answer by JulietG(1812) (Show Source): You can put this solution on YOUR website!
Here's what we have from the question:
(A-B)*3 [the difference between two numbers is tripled.]
((A-B)*3)-1 [the result is decreased by 1.]
((A-4)*3)-1 = 8.3 [if the lesser value of the two numbers is 4 the result is 8.3.]
Let's try and work the problem:
Add 1 to each side
(A-4)*3 = 9.3
Distribute the 3
3A-12 = 9.3
Add 12 to each side
3A = 21.3
Divide each side by 3
A = 7.1
.
Let's make sure it works.
((7.1-4)*3)-1 = 8.3
(3.1*3)-1=8.3
9.3-1 = 8.3
8.3=8.3
success!
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