Answer:
47 and 16
Step-by-step explanation:
Start by writing this question as two equations, lets call the two numbers x and y.
"Two numbers total 63" we can write that as x+y=63
"...and have a difference of 31" we can write that as x-y=31 or y-x=31 or |x-y| = 31 or |y-x| = 31. There a lot of ways to write that.
So lets use y-x=31 as the second equation, you can ignore the other possible ways since it doesn't matter in this problem to use absolute value
Using subsitution solve for x using x+y = 63, x = -y + 63
Plug that into the other equation, -y+63-y=31
−2y+63=31 (Simplify both sides of the equation)
−2y+63+−63=31+−63 (Add -63 to both sides)
−2y=−32
y=16 (Divide both sides by -2 to get Y by itself)
We solved for Y(of of the numbers), now for X (the other number)
Substitute 16 for y in x= − y + 63:
x=−y+63
x=−16+63
x=47
