a, b, c, d, e are five numbers such that their average is 38. The average of b, c, d is 17, and e is less than a by one. What is the value of e?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 69.
Given, a + b + c + d + e = 38 × 5 = 190
Also, b + c + d = 17 × 3 = 51
⇒ a + e = 190 - 51
⇒ a + e = 139
And a - e = 1
Subtracting the equations,
⇒ 2e = 138
⇒ e = 69