SOLUTION: what is the answer to this word problem "The Difference between two numbers is 16. Five times the smaller is the same as 8 less than twice the larger. find the numbers?" A

Question 222054: what is the answer to this word problem
"The Difference between two numbers is 16. Five times the smaller is the same as 8 less than twice the larger. find the numbers?"

And this one also please,

The sum of two numbers is the same as four times the smaller number, if twice the larger is decreased by the smaller, the result is 30. find the numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I am going to do better than give you the answer, I am going to show you how to do it.
:
write an equation for each statement, let the numbers be x & y
:
"The Difference between two numbers is 16."
x - y = 16
Arrange this to be used for substitution
x = y + 16
:
Five times the smaller is the same as 8 less than twice the larger."
5y = 2x - 8
:
Replace x in the above with (y+16). find y
5y = 2(y+16) - 8
5y = 2y + 32 - 8
5y - 2y = 24
3y = 24
y =
y = 8
:
You should be able to find x now
;
:
"The sum of two numbers is the same as four times the smaller number,"
x + y = 4y
x = 4y - y
x = 3y
:
"twice the larger is decreased by the smaller, the result is 30.
2x - y = 30
:
Replace x with 3y in the above
2(3y) - y = 30
6y - y = 30
5y = 30
You should be able to handle it now.
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