Question

The sum of two consecutive integers is 75. Find the numbers

Answer 1

Step-by-step explanation:

let

the consecutive numbers be x and

x+1

x+x+1=75

2x+1=75

2x=74

x=74÷2= 37

x=37

x+1=38

Answer 2

Given,

The sum of two consecutive integers is 75.

To find,

Find the numbers.

Solution,

Let the two numbers be x and x+1 since the two numbers are consecutive.

According to the problem,

⇒   (x) + (x+1) = 75

⇒   2x + 1 = 75.

+ 1 which is on the Left-Hand Side of the equation would be shifted to the Right-Hand Side of the equation and its sign would change from +1 to -1.

⇒   2x = 75 - 1

⇒   2x = 74.

⇒   x = 74/2

⇒   x = 37.

Hence, the two numbers x and x+1 are 37 and 38 respectively.