Bunuel wrote:
The average of seven numbers is 20. The average of the first four numbers is 19 and that of the last four is 24. What is the value of the fourth number?
(A) 23
(B) 25
(C) 32
(D) 43
(E) 63
Let the 7 numbers be {a, b, c,d , e, f,g}
The average of seven numbers is 20
We can write: (a + b + c +d + e + f + g)/7 = 20
Multiply both sides by 7 to get: a + b + c +d + e + f + g = 140[equation #1]
The average of the first four numbers is 19 So, (a + b + c +d )/4 = 19
Multiply both sides by 4 to
...









