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Ratio of number of female passengers to male passengers in a bus is 3 : 2 and average weight of all the passengers in the bus is 68 kg. If average weight of female passengers is 20 kg less than that of male passengers, then what is the average weight of male passengers?

Ratio of number of female passengers to male passengers in a bus is 3 : 2 and average weight of all the passengers in the bus is 68 kg. If average weight of female passengers is 20 kg less than that of male passengers, then what is the average weight of male passengers? Correct Answer 80 kg

GIVEN:

Ratio of number of female passengers to male passengers in a bus is 3 : 2

Average weight of all the passengers in the bus is 68 kg.

FORMULA USED:

Average = Sum of numbers/Total numbers

CALCULATION:

Let number of male and female passengers in the bus is ‘2x’ and ‘3x’ respectively.

Let average weight of male and female passengers is ‘y’ and ‘y – 20’ respectively.

According to the question:

+ = (2x + 3x) × 68

⇒ 2y + 3y – 60 = 340

⇒ y = 80

Average weight of male passengers = y = 80 kg

Using allegation method:

(X – 68)/(68 – X + 20) = 3/2

⇒ 2X – 136 = 264 – 3X

⇒ 5X = 400

⇒ X = 80

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