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The average weight of 4 friends Utkarsh, Ashu, Kamal & Himanshu is 100. If the average weight of Ashu & Kamal is 60, and that of Ashu & Himanshu is 72.5, then find the weight of Utkarsh if the weight of Kamal is 55?

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The average weight of 4 friends Utkarsh, Ashu, Kamal & Himanshu is 100. If the average weight of Ashu & Kamal is 60, and that of Ashu & Himanshu is 72.5, then find the weight of Utkarsh if the weight of Kamal is 55?
1). 150
2). 125
3). 175
4). 200


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Answered by on | Votes 1 |

⇒ Total weight of 4 friends = 100 × 4 = 400

⇒ Combined weight of Ashu & Kamal = 60 × 2 = 120

⇒ Weight of Ashu = 120 – 55 = 65

⇒ Combined weight of Himanshu & Ashu = 72.5 × 2 = 145

⇒ Weight of Himanshu = 145 – 65 = 80

∴ Weight of Utkarsh = 400 – (65 + 55 + 80) = 400 – 200 = 200 kgs

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