The sum of two numbers is 34. 2/7 of one number is equal of 1/5 of the other. Find the two numbers.

one number ---- x

the other ----- 34-x

(2/7)x = (1/5)(34-x)
times 35, the LCD
10x = 7(34-x)
10x = 238 - 7x
17x = 238
x = 14

state your conclusion