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 78. 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 $x$.

Since the codes are consecutive integers, country B's code is $x + 1$ and country C's code is $x+2$.

Step2: Set up an equation based on the sum.

The sum of the three consecutive integers is $x+(x + 1)+(x + 2)=78$.
Simplify the left - hand side: $3x+3 = 78$.

Step3: Solve the equation for $x$.

Subtract 3 from both sides: $3x=78 - 3=75$.
Divide both sides by 3: $x=\frac{75}{3}=25$.

Step4: Find the codes for each country.

Country A's code $x = 25$.
Country B's code $x + 1=25 + 1 = 26$.
Country C's code $x + 2=25+2 = 27$.

Answer:

Country's A code is 25. Country's B code is 26. Country's C code is 27.