The average weight of a group of 12 girls is 48 kg. If 2 girls R and S replace P and Q, the new average weight becomes 46 kg. The weight of P = the weight of Q. The weight of R = the weight of S. Another girl T, is included in the group and the new average weight becomes 46 kg. The weight of T = the weight of R. What is the weight of P (in kg)?

The average weight of a group of 12 girls is 48 kg. If 2 girls R and S replace P and Q, the new average weight becomes 46 kg. The weight of P = the weight of Q. The weight of R = the weight of S. Another girl T, is included in the group and the new average weight becomes 46 kg. The weight of T = the weight of R. What is the weight of P (in kg)? Correct Answer 58

Formula:

Average weight = Total weight of the elements ÷ total elements

Calculation:

According to the question-

⇒ 2P - 2R = (48 - 46) × 12

⇒ P - R = 12 (Equation 1)

Addition of T-

⇒ 552 + R = 13 × 46

⇒ 552 + R = 598

∴ R = 598 - 552 = 46 kg

Substituting the value of R in Equation 1, we get-

⇒ P = 46 + 12 = 58 kg.

∴ The weight of P is 58 kg.