The sum of two consecutive positive odd integers is 76. Find the bigger odd number.
Solution
The correct answer is 39
Explanation
Let the first odd number be x
∴ The consecutive odd number would be x + 2
Since their sum is 76,
x + (x + 2) = 76
∴ x + x + 2 = 76
∴ 2x = 76 - 2 = 74
∴ x = $\frac{74}{2}$ = 37
∴ The first odd number is 37 and the consecutive positive odd number is 39