Question

To make an international telephone call, you need the code for the country you are calling. The codes for country A,

country B, and C are three consecutive integers whose sum is 75. Find the code for each country.

Answer 1

The codes for country A is 24, country B is 25, country C is 26.

Explanation:

Given that, the codes for country A, country B, and C are three consecutive integers whose sum is 75.

What are consecutive integers?

Whenever we number or count items in a sequence, we use consecutive integers. In other words, consecutive integers are integers that follow each other in a sequence with a difference that is fixed. For example, if we take the list of natural numbers, 1,2,3,4,5,6, we see that there is a difference of 1 between each integer.

Now, 3 consecutive integers are x, x+1 and x+2.

x = 1st integer (country A)

x + 1 = 2nd integer (country B)

x + 2 = 3rd integer (country C)

Whose sum is 75 = x + (x + 1) + (x + 2) = 75

⇒3x + 3 = 75

⇒3x = 75 - 3

⇒3x = 72

⇒x = 72/3

⇒x = 24

So, x + 1 = 24 + 1 = 25 and x + 2 = 24 + 2 = 26.

Therefore, the codes for country A is 24, country B is 25, and country C is 26.