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 country c are three consecutive integers whose sum is 111. find the code for each country. countrys a code is □, countrys b code is □, and countrys c code is □.

Explanation:

Step1: Let the first integer (country A's code) be $x$.

Let the three - consecutive integers be $x$, $x + 1$, $x+2$.

Step2: Set up the sum equation.

The sum of the three consecutive integers is $x+(x + 1)+(x + 2)=111$.
Simplify the left - hand side: $3x+3 = 111$.

Step3: Solve for $x$.

Subtract 3 from both sides of the equation: $3x=111 - 3=108$.
Divide both sides by 3: $x=\frac{108}{3}=36$.

Step4: Find the other two integers.

Country B's code ($x + 1$): $36+1 = 37$.
Country C's code ($x + 2$): $36+2 = 38$.

Answer:

Country's A code is 36, country's B code is 37, and country's C code is 38.