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 114. 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 be $x$.

The three consecutive integers are $x$, $x + 1$, $x+2$.

Step2: Set up the sum - equation.

$x+(x + 1)+(x+2)=114$.

Step3: Simplify the left - hand side of the equation.

$3x+3 = 114$.

Step4: Subtract 3 from both sides.

$3x=114 - 3=111$.

Step5: Divide both sides by 3.

$x=\frac{111}{3}=37$.

Step6: Find the other two integers.

$x + 1=37+1 = 38$, $x + 2=37+2=39$.

Answer:

Country's A code is 37, country's B code is 38, and country's C code is 39.