Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 12)
12.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
47.55 kg
48 kg
48.55 kg
49.25 kg
Answer: Option
Explanation:
Required average
= 50.25 x 16 + 45.15 x 8
16 + 8
= 804 + 361.20
24
= 1165.20
24
= 48.55
Discussion:
33 comments Page 2 of 4.

Sree ranga said:   6 years ago
50.25 * 16 + 45.15 = x * 24,
804+361.2 = x * 24,
1165.2/24 = x,
X = 48.55.
(1)

Sirisha said:   8 years ago
Nice trick, Thanks @Pavan.

Bramara said:   9 years ago
Formula for this type of problem is (w1*x1) + (w2*x2) / (w1+w2).

Sunita said:   8 years ago
Let's take X=50.25 and Y=45.15.

It's given avg of 16 mem is 50.25 so X= 16*50.25 = 804 and in the same manner 8 member Y= 45.15*8 = 361.2.

The total members are 24 therefore;
AVERAGE = (804+361.2)/24 = 48.55.

Bala Mayak said:   8 years ago
Superb, nice explanation @Pavan.

Vijay said:   7 years ago
Hi, I am not getting the answer. Can anyone explain me to get it?

Nilesh Chourasiya said:   3 weeks ago
Thanks all for explaining.

Farhin Rizvi said:   9 years ago
As given, the average weight of 16 boys in a class = 50.25kg.

Thereby,we can write it as x1 + x2,....x16/16 = 50.25,
= x1 + x2 +.....+ x16 = 50.25 * 16 = 804.

For remaining 8 boys x1 + x2 +....+ x8/8 = 45.15,
= x1 + x2 + x3 + ........ + x8 = 45.15 * 8 = 361.2.

Thereby total number of boys = 16 + 8 = 24.
And total weight = 804 + 361.2 = 1165.2.

Average = 1165.2/24 = 48.55.

Nilesh Chourasiya said:   3 weeks ago
Thank you all for explaining the answer.

Vicky said:   9 years ago
Is there any shortcut for this problem?


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