Question 222054
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 = {{{24/3}}}
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.