QUESTION IMAGE
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 102. find the code for each country. countrys a code is , countrys b code is , and countrys c
Step1: Let the first integer be $x$.
The three consecutive integers are $x$, $x + 1$, $x+2$.
Step2: Set up the equation.
The sum of the three consecutive integers is 102, so $x+(x + 1)+(x+2)=102$.
Step3: Simplify the left - hand side of the equation.
Combining like terms, we get $3x+3 = 102$.
Step4: Solve for $x$.
Subtract 3 from both sides: $3x=102 - 3=99$. Then divide both sides by 3, so $x = 33$.
Step5: Find the other two integers.
The second integer is $x + 1=33+1 = 34$, and the third integer is $x+2=33 + 2=35$.
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Country's A code is 33, country's B code is 34, and country's C code is 35.