Question

Jeffrey is training to run a marathon. On Monday he ran and walked a total of 11 miles. If he ran 2 miles more than twice as far as he walked, how many miles did he run?

Answer 1

x - how much did he run
y - how much did he walk

x+y = 11 -> y = 11-x
2y = x+2

2*(11-x) = x+2
22-2x = x+2
-3x = -20
x=20/3

y = 11-x
y = 11 - (20/3)
y = (33/3) - (20/3)
y = 13/3

he ran 20/3 miles and walked 13/3 miles