The mean average weight of 3 students is 40 kgs one of the students ranga weighs 46 kgs the other two students rahim and reshma have the same weight find the rahims weight
Answers
Given :-
Mean average weight of three students = 40 kg
ATQ,
One of those three students (Ranga) weighs 46 kg and the other two students (Rahim and Reshma) weigh the same.
Let the weight of Rahim and Reshma be x each.
We know that,
Mean = (total sum of all numbers)/(total numbers)
➡ (46 + x + x)/3 = 40
➡ 46 + 2x = 40 × 3
➡ 2x = 120 - 46
➡ 2x = 74
➡ x = 74/2
➡ x = 37
Hence, the weight of Rahim and Reshma is 37 kg each.
VERIFICATION :-
LHS :-
= (46 + 37 + 37)/3
= 120/3
➡ 40 kg = RHS. Hence verified!
Solution :
Let, the weight of Rahim and Reshma is x kg each (as it is given that they have same weight).
Given that, weight of Ranga is 46 kg
ATQ,
Average of their weights = 40 kg
or, (46 + x + x)/3 = 40
or, 46 + 2x = 3 * 40
or, 46 + 2x = 120
or, 2x = 120 - 46
or, 2x = 74
or, x = 37
Therefore, Rahim weighs 37 kg. (Ans.)