The average weight of 5 students in a study group is 38 kg. If the weight of 2 mentors is also included, then the new average weight of each person (mentor + student) in the study group becomes 42 kg. Find the average weight of the two mentors.
ATQ, Let the average weight of the two mentors be 'x' kg. So, total weight of the two mentors = 2 × x = '2x' kg. ATQ: 38 × 5 + '2x' = 42 × (5 + 2) Or, 190 + 2x = 42 × 7 Or, 190 + 2x = 294 Or, 2x = 294 - 190 = 104 Or, x = 104 ÷ 2 = 52 Therefore, the average weight of the two mentors is 52 kg.
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