Question
The average height of each person in group 'E' having 40
people is 15 cm less than the average height of each person in group 'F' having 35 people. If the sum of the heights of all people in group 'E' is the same as that in group 'F', then what is the average height of a person in group 'F'?Solution
ATQ, Let the average height of a person in group 'F' = 'z' cm. Then, the average height of a person in group 'E' = (z - 15) cm. Total height of all people in group 'F' = 35 × z = '35z' cm. Total height of all people in group 'E' = 40 × (z - 15) = 40z - 600 cm. So, 40z - 600 = 35z. Or, 5z = 600. So, z = 600 / 5 = 120. Required average height = 120 cm.
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