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 81. 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's A code) be $x$.

Then country's B code is $x + 1$ and country's C code is $x+2$.

Step2: Set up the sum - equation.

The sum of the three consecutive integers is $x+(x + 1)+(x + 2)=81$.
Simplify the left - hand side: $3x+3 = 81$.

Step3: Solve the equation for $x$.

Subtract 3 from both sides: $3x=81 - 3=78$.
Divide both sides by 3: $x=\frac{78}{3}=26$.

Step4: Find the other two codes.

Country's B code: $x + 1=26+1 = 27$.
Country's C code: $x + 2=26+2 = 28$.

Answer:

Country's A code is 26, country's B code is 27, and country's C code is 28.