SOLUTION: the larger of two numbers is 4 less than 5 times the smaller. when the smaller number is subtracted from the larger, the difference is 4. find the two numbers
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Question 218904: the larger of two numbers is 4 less than 5 times the smaller. when the smaller number is subtracted from the larger, the difference is 4. find the two numbers Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Let x and y be the numbers
:
Write an equation for each statement:
:
"the larger of two numbers is 4 less than 5 times the smaller."
x = 5y - 4
;
" when the smaller number is subtracted from the larger, the difference is 4."
x - y = 4
x = y + 4
:
find the two numbers
:
Replace x with (y+4) in the 1st equation, find y
y + 4 = 5y - 4
4 + 4 = 5y - y
8 = 4y
y =
y = 2
then
x = y + 4
x = 2 + 4
x = 6
;
;
Check the solution in the statement:
"the larger of two numbers is 4 less than 5 times the smaller."
6 = 5(2) - 4
