Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c? Choose the correct choice.
A) 27 B) 26 C) 25 D) 24 E) 23
Solution:   We know that the average value is 22 therefore (a+b+c)/3 = 22   so a+b+c = 66   and b = a + 13   therefore a + (a + 13) + c = 66   The least value of c is when c = b   so take c = a + 13   hence, a + (a + 13) + (a + 13) = 66   i.e., a = 40/3 a non integer therefore c is not equal to b   so take c = b+1 therefore c = a+14   a + (a + 13) + (a + 14) = 66   i.e., a= 39/3= 
<gadget id="calculator">39/3</gadget>
<output>13</output>
13   hence, a= 13, b = 26, and c = 27   27nswer: 27
<result>A</result>
Three positive integers a, b, and c are such that their average is 22 and a ≤ b ≤ c. If the median is (a + 13), what is the least possible value of c?