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.

​Country's A code is
​country's B code is
country's C code is

Answer 1

$Let \: x , \:(x+1) \:and \: (x+2) \:are \:codes \:for \\country A, \:country B, \:and C \: respectively$

/* According to the problem given */

$Sum \:of \:the \: codes = 114$

$\implies x + (x+1) + (x+2) = 114$

$\implies 3x + 3 = 114$

$\implies 3x = 114 - 3$

$\implies 3x = 111$

$\implies x = \frac{111}{3}$

$\implies x = 37$

Therefore.,

$\red {Country's A code is(x) }\green { = 37}$

$\red {Country's B code is(x+1) }\green { = 38}$

$\red {Country's C code is(x+2) }\green { = 39}$

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