Question

Find two consecutive integers whose sum is 75

Answer 1

Let small number be $\huge\red{x}$

Therefore, the next number is $\huge\red{x\:+\:1}$

$\orange{\underline{\underline{Therefore}}}$

x + (x + 1) = 75

2x + 1 = 75

2x = 75 - 1

2x = 74

$x = \frac{74}{2} \\ \\ x = 37$

Therefore the small number is 37. The second number is x + 1 = 37 + 1 = 38

Hence the consecutive Integers are 37 & 38

Answer 2

Given :

Two consecutive integers whose sum is 75

To find :

The two consecutive integers whose sum is 75.

Solution :

Let the two consecutive integers be x and x + 1.

The sum of two consecutive integers is 75.

Therefore,

x + (x + 1) = 75

2x + 1 = 75

2x = 75 - 1

2x = 74

x = $\frac{74}{2}$

x = 37

x + 1 = 38

x + (x + 1) = 37 + 38

37 + 38 = 75

Final answer :

The two consecutive integers whose sum is 75 are 35 and 38.