One quarter of the sum of two consecutive odd number is 14 find the odd numbers
To find the two consecutive odd numbers, we can start by setting up equations based on the given information.
Let's assume the first odd number is "x", and since the numbers are consecutive, the second odd number would be "x + 2" (since the difference between consecutive odd numbers is 2).
According to the problem, one-quarter of the sum of these numbers is equal to 14, so we can write the equation as:
(1/4)(x + (x + 2)) = 14
To solve the equation, we can simplify it and solve for "x":
(1/4)(2x + 2) = 14
(2x + 2)/4 = 14
2x + 2 = 56
2x = 56 - 2
2x = 54
x = 54/2
x = 27
Therefore, the first odd number is 27, and the second odd number would be:
27 + 2 = 29
So, the two consecutive odd numbers are 27 and 29.