the average weight of a family of 15 member is 49.6kg. the average weights of the men, women and children are 71kg, 55kg and 26kg. after one year the grandmother of the family dies though the average age of the family increases by 2.6kg. the average weights of the men, women and children increase by 1 kg, 3 kg and 4 kg. how many children are there in the family?
Answers
Looks some mistake in data
Step-by-step explanation:
15 Members
average weight = 49.6 kg
=> Total Weight = 49.6 * 15 = 744 kg
Let say Children = C
Women = W
Man = 15 - (C + W)
71 * (15 - (C + W)) + 55W + 26C = 744
=> 16W + 45C = 321
after one year the grandmother of the family dies
Total Member = 14
Average age = 49.6 + 2.6 = 52.2 kg
Total Weight = 14 * 52.2 = 730.8 kg
(71 + 1)(15 - (C + W)) + (55+3)(W - 1) + (26 + 4)C = 730.8
=> 72 * 15 -72C - 72W + 58W - 58 + 30C = 730.8
=> 24W + 42C = 291.2
16W + 45C = 321
=> 24W + 67.5C = 481.5
=> 25.5C = 190.3
=> C = 7.6
Children can not be in decimal
Looks some mistake in data
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