Question

Find two consecutive odd numbers such that the sum of the first number and one-third of the second number is equal to fifty.

Answer 1

35 and 37

37 and 39

49 and 51

Answer 2

2 consecutive odd numbers...
x and x + 2

x + 1/3(x + 2) = 50 -- distribute
x + 1/3x + 2/3 = 50 -- multiply by 3 to get rid of fractions
3x + x + 2 = 150 -- subtract 2 from both sides
3x + x = 150 - 2
4x = 148
x = 37

x + 2 = 37 + 2 = 39

check..
37 + 1/3(39) = 50
37 + 13 = 50
50 = 50 (correct)

your numbers are 37,39