单选题The average of a, b, c, d, and e is 28. If the average of a, c, and e is 24, what is the average of b and d?A31B32C33D34E36
单选题
The average of a, b, c, d, and e is 28. If the average of a, c, and e is 24, what is the average of b and d?
A
31
B
32
C
33
D
34
E
36
参考解析
解析:
If the average of a, b, c, d, and e is 28, then (a + b + c + d + e)/5 = 28, or a + b + c + d + e=5×28= 140. If the average of a, c, and e is 24, then (a + c + e)/3 = 24. Or a + c + e= 3 × 24 = 72. Substituting 72 for a+c+e in a+b+c+d+e=140 gives b+d+72 = 140, b +d = 140-72 = 68, (b + D./2 = 68/2 = 34.
If the average of a, b, c, d, and e is 28, then (a + b + c + d + e)/5 = 28, or a + b + c + d + e=5×28= 140. If the average of a, c, and e is 24, then (a + c + e)/3 = 24. Or a + c + e= 3 × 24 = 72. Substituting 72 for a+c+e in a+b+c+d+e=140 gives b+d+72 = 140, b +d = 140-72 = 68, (b + D./2 = 68/2 = 34.
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