Question 1005661: The difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! The difference between two numbers is 31
x - y = 31.......(1)
Four times the smaller is equal to 8 more
than the larger.
4y = 8 + x........(20
Using Equation (1)
x - y = 31
x = 31 + y
Substitute x = 31 + y into equation(2)
4y = 8 +(31 + y)
4y = 8 + 31 + y
Collect like terms:
4y - y = 8 + 31
3y = 39
y = 13
Substitute y = 13 into Equation (1)
x - y = 31
x - 13 = 31
x = 31 + 13
x = 44
Numbers are 44 and 13
Hope this helps :-)
