The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The difference between the remaining two integers is 28. Which of the following integers is higher of the remaining two integers ?

A. 39

B. 48

C. 76

D. Cannot be determined

Show Answer

Answer-C
Solution-

Solution(By Apex Team)


Sum of four integers = 59 × 4 = 236 Let the required integers be x and x -28 $\begin{array}{l}\text{Then,}\\ \text{x + (x – 28) = 236 – (83 + 29)}\\ \text{⇒ 2x – 28 = 124}\\ \text{⇒ 2x = 152}\\ \text{⇒ x = 76}\\ \therefore\text{required integer = 76}\end{array}$