1.
Average weight of a group of 6 girls is 26. If we
replace a girl of weight 30 in the group with
another girl so that new average increases by 5.
Find the weight of new girl.
Answers
Given,
Average weight of 6 girls = 26 kg
Weight of the replaced girl = 30 kg
Average weight increases by 5 kg.
To find,
The weight of the new girl.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Average weight of 6 girls = 26 kg
Total weight of 6 girls = (26×6) = 156 kg
Total weight of 5 girls = 156 - 30 = 126 kg
Let, the weight of new girl = x kg
Total weight of 6 girls = (126+x) kg
Average weight of 6 girls = (126+x)/6 kg
And, According to the data mentioned in the question
Average weight of 6 girls is also = (26+5) = 31 kg
So,
(126+x)/6 = 31
126+x = 186
x = 60
Hence, the weight of new girl is 60 kg.
Given : Average weight of a group of 6 girls is 26
छ: लड़कियों के समूह का औसत वजन 26 है
replace a girl of weight 30 in the group with another girl so that new average increases by 5.
समूह में वजन 30 की लड़की को दूसरी लड़की के साथ बदल देते है तो नया
औसत 5 बढ़ जाता है।
To Find : the weight of new girl.
नई लड़की का वजन
Solution:
छ: लड़कियों के समूह का औसत वजन 26 है
Average weight of a group of 6 girls is 26
Total Weight = 6 x 26 = 156
कुल वजन = 156
the weight of new girl. = W
नई लड़की का वजन = W
New Total Weight = 156 - 30 + W = 126 + W
नया कुल वजन = 156 - 30 + W = 126 + W
new average = 26 + 5 = 31
नया औसत = 26 + 5 = 31
New Total Weight = 31 x 6 = 186
नया कुल वजन = 31 x 6 = 186
126 + W = 186
=> W = 60
weight of new girl. = 60
नई लड़की का वजन = 60
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