The sum of three distinct number is 100. The larger two numbers differ by 10. The smaller two numbers differ by 2. What is the largest of the three numbers?
x+y+z=100
z=y+10
y=x+2-->z=x+12
x+x+2+x+12=100
3x+14=100
3x=86
x=86/3
z=122/3