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The average of p,q and 40 is 20 more than the average of
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10 Sep 2018, 22:31
10 Sep 2018, 22:31
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78% (01:42) correct
21% (01:24) wrong based on 14 sessions
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The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?
A)95
B)190
C)220
D)240
E)380
A)95
B)190
C)220
D)240
E)380
Re: The average of p,q and 40 is 20 more than the average of
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12 Sep 2018, 19:21
12 Sep 2018, 19:21
1
AchyuthReddy wrote:
The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?
A)95
B)190
C)220
D)240
E)380
A)95
B)190
C)220
D)240
E)380
Let the average no. of p, q and 40 = X
Now if we add 60 to it the value is 20 less,
or else we can re write as :
3X + 60 = 4(X-20)
3X + 60 = 4X - 80
or X = 140
i.e. we have,
p + q + 40 = 3*140 = 420
or p+q = 380
or \(\frac{p+q}{2} = 190\).
i.e. Option B
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Re: The average of p,q and 40 is 20 more than the average of
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19 Sep 2018, 17:01
19 Sep 2018, 17:01
1
Expert Reply
AchyuthReddy wrote:
The average of p.q and 40 is 20 more than the average of p, q, 40 and 60. What is the average of p and q?
A)95
B)190
C)220
D)240
E)380
A)95
B)190
C)220
D)240
E)380
We can create the equation:
(p + q + 40)/3 = 20 + (p + q + 40 + 60)/4
(p + q + 40)/3 = 20 + (p + q + 100)/4
Multiplying the equation by 12, we have:
4(p + q + 40) = 240 + 3(p + q + 100)
4p + 4q + 160 = 240 + 3p + 3q + 300
p + q = 380
Thus, the average p and q is 380/2 = 190.
Answer: B
