Average weight of three friends Aman, Vistara, and Damini is 70 kg. Another person Vishwa joins the group and now the average is 66 kg. If another person Tara whose weight is 6 kg more than Vishwa, joins the group replacing Aman, then the average weight of Vistara, Damini, Vishwa, and Tara becomes 75 kg. What is the weight of Aman?

Option 2 : 24 kg

Given:

Average weight of Aman, Vistara, and Damini = 70 kg

Average weight of Aman, Vistara, Damini, and Vishwa = 66 kg

Average weight of Vistara, Damini, Vishwa, and Tara = 75 kg

Formula used:

Average = (Total weight) / Number of people

Calculation:

Total weight of Aman, Vistara, and Damini = 70 × 3

⇒ 210 kg

Total weight of Aman, Vistara, Damini, and Vishwa = 66 × 4

⇒ 264 kg   ----(i)

Weight of Vishwa = 264 – 210

⇒ 54 kg

Weight of Tara = 54 + 6 = 60 kg

Total weight of Vistara, Damini, Vishwa, and Tara = 75 × 4

⇒ 300 kg   ----(ii)

Subtracting (i) from (ii)

Tara – Aman = 300 – 264

⇒ Weight of Aman = 60 – 36

⇒ Weight of Aman = 24 kg