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

2 thoughts on “Average weight of a group of 6 girls is 26. If we<br />replace a girl of weight 30 in the group with<br />another girl so that new”

1. Answer:

   Total weight = 156 – 30 + x = 126+x

   [tex]average \: = \frac{126 + x}{6} \\ \\ 31= \frac{126 + x}{6} \\ \\ 186 = 126 + x \\ \\ x = 60[/tex]

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2. Answer:

   60 kg

   Step-by-step explanation:

   Average = sum/no. of quantities

   In the question,

   ⇒ 26 = (sum of weight of 6 girls)/6

   ⇒ 26*6 = sum of weight of 6 girls

   ⇒ 156 = sum of weight of 6 girls

   Let the weight of the new girl be x. When a girl of 30 kg is replaced, total weight gets reduced by 30 and increases by x. Average increases by 5 or 26 + 5 = 31.

   Total weight(now) = 156 – 30 + x

   = 126 + x

   ⇒ average = (126 + x)/6

   ⇒ 31 = (126 + x)/6

   ⇒ 186 = 126 + x

   ⇒ 60 = x

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