SOLUTION: The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller the result is 40. Find the numbers.

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Question 721980: The larger of two numbers is 8 more than four times the smaller. If the larger is increased by four times the smaller the result is 40. Find the numbers.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement
:
" The larger of two numbers is 8 more than four times the smaller."
a = 4b + 8
:
"If the larger is increased by four times the smaller the result is 40."
a + 4b = 40
Replace a with (4b+8) from the 1st statement
(4b+8) + 4b = 40
4b + 4b = 40 - 8
8b = 32
b = 4
:
I'll let you find a, check your solutions in both statements