Answer:
y equals 17
So the larger of the two numbers is 17.
Step-by-step explanation:
So, here is what is given.
x+y=31
2x=y+11
So if x+y=31, then 2x+2y will equal 62. Replace 2x with what's given.
y+11+2y=62
3y+11 -11 =62 -11
3y=51
y=17.
Alternatively
x+y=31, and 2x=y+11
x -x +y=31 -x
y=31-x
2x=31-x+11
2x +x=42-x+x
3x=42
x=14
2(14)=y+11
28 -11 =y+11 -11
Again, y equals 17.
So the larger of the two numbers is 17.
