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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