Hi
x = y-5 0r y(the larger) = x+5
5x + 2(x+5) = 31
7x = 21
x = 3 and y = 8
CHECKING our answer***
Wish You the Best in your Studies.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website! one number is less than the other by five if five times the smaller number plus twice the larger is 31. then what are the numbers?
-----------
Equations:
x = y-5
5x+2y = 31
-------
Substitute for "x" and solve for "y":
5(y-5) + 2y = 31
7y -25 = 31
7y = 56
y = 8
--------
x = y-5 = 3
-----------------------
Cheers,
Stan H.
---------------------