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

let 2x + 1 be the first odd number
let 2x +1 +2 equal next odd number (2x + 3)
As given by the problem:
2x + 1 + (2x + 3)/3=50
2x + 1 +(2x)/3 +1 = 50 Multiplying thru by 3 to clear fraction
6x + 3 +2x + 3 = 150
8x = 150 - 6
8x = 144
x= 18
2x + 1 =37 First odd number
2x + 3 = 39 Nex odd number
37 +39/3 = 37 + 13 = 50 confirmed