the average weight of 12 women increases by 3 kg when a new women joins in place of one of them weighing 79 kg. what is the weight of the new woman?
Answers
Answer:
85 kg
Explanation:
Average increases by 2.5 kgs.. this means that total increase in weight is 8 × 2.5 = 20 kgs.. weight of person who left= 65 kgs.... weight of new person = 20+65 = 85 kgs..
Solution :-
Let us assume that, the average weight of 12 women was x kg .
So,
→ Total weight of 12 women = 12 * x = 12x kg .
now, given that, a woman whose weight was 79 kg gone and a new woman let whose weight is y kg joins .
So,
→ New Total weight of 12 women = (12x - 79 + y) kg
A/q,
→ (12x - 79 + y)/12 = (x + 3)
→ 12x - 79 + y = 12x + 36
→ y - 79 = 36
→ y = 79 + 36
→ y = 115 kg (Ans.)
Hence, the weight of the new woman is 115 kg .
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