Find two consecutive odd integers whose sum is 56.
Odd numbers are 2 apart, so
let the first odd number be x
then the second odd number is x+2
solve x + x+2 = 56
Let x = the smaller of the two integers.
x + (x + 2) = 56
2x + 2 = 56
2x = 54
x = ?
To find two consecutive odd integers whose sum is 56, we can set up an equation. Let's assume the first odd integer is x. Since the second consecutive odd integer will be the next odd number after x, we can represent it as x + 2.
According to the given information, the sum of these two consecutive odd integers is 56. This can be written as:
x + (x + 2) = 56
Simplifying the equation:
2x + 2 = 56
Next, we can isolate the variable x by subtracting 2 from both sides of the equation:
2x = 54
Dividing both sides of the equation by 2 gives us:
x = 27
Therefore, the first odd integer is 27, and the second consecutive odd integer is 27 + 2 = 29.
Hence, the two consecutive odd integers whose sum is 56 are 27 and 29.