SOLUTION: the difference of two numbers is tripled. the result is decreased by 1. if the lesser of the two numbers is 4, the result is 8.3. find the greater number. how do i set this problem
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Question 247443: the difference of two numbers is tripled. the result is decreased by 1. if the lesser of the two numbers is 4, the result is 8.3. find the greater number. how do i set this problem up? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! the difference of two numbers is tripled. the result is decreased by 1.
if the lesser of the two numbers is 4, the result is 8.3.
find the greater number. how do i set this problem up?
:
Let x & y be the two numbers
Write an equation for each statement
:
"the difference of two numbers is tripled."
3(x-y)
;
"the result is decreased by 1."
3(x-y) - 1
:
"if the lesser of the two numbers is 4, the result is 8.3."
Assume the lesser is y, replace it with 4:
3(x - 4) - 1 = 8.3
:
find the greater number. that will be x
3(x - 4) - 1 = 8.3
3x - 12 - 1 = 8.3
3x - 13 = 8.3
3x = 8.3 + 13
3x = 21.3
x =
x = 7.1 is the greater number
:
:
Check the solution using the eq: 3(x - y) - 1 = 8.3
3(7.1 - 4) - 1 = 8.3
3(3.1) - 1 = 8.3
9.3 - 1 = 8.3
;
;
Did this make sense to you?
