Respuesta :
x + (x + 1) = 75
2x + 1 = 75
2x = 74
x = 37
75 - 37 = 38
You can check by substituting the product for the value of x.
37 + 37 + 1 = 75
The two consecutive integers whose sum is 75 are; 37 and 38.
If two consecutive integers sum up to become 75.
We can represent the first number as = x and
the second number as = (x + 1).
The sum of both of the numbers = 75.
therefore, x + (x + 1) = 75.
- 2x + 1 = 75
- 2x + 1 = 752x = 75 - 1
- 2x + 1 = 752x = 75 - 12x = 74
Dividing both sides of the equation by 2; we have;
x = 37
x + 1 = 38.
Ultimately, the two consecutive integers are; 37 and 38.
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