The sum of two numbers is 208. One-third of the greatest number equals the smaller number. What is the numbers?

52 and 156

Step-by-step explanation:

Set up system of equations: x+y=208, 1/3 (x) = y

plug in 1/3 (x) for y: x + 1/3 (x) = 208 so 4/3 (x) = 208

divide by 4/3 on both sides: x=156

plug x into original equation: 156+y=208

subtract 156 from both sides: y=52

The answers are 52 and 156.