The average weight of 6 people increases from 24 to 31.5 kg when one of them leaves the group and a new person joins in. If the weight of the person who joined is 60 kg. Find the weight of the person who left the group. A. 37.5 B. 15 C. 22.5 D. 30

Answers 2

Answer:

Step-by-step explanation:

average weight of old group = 24 kg

average weight new group = 31.5 kg

weight of new person = 60 kg

let us assume weight of remaining 5 people = X

and weight of person who left as Y

X+Y = 24*6 ( as the average of group was 24)

= 144 .... (a)

now for new group

X + 60 = 31.5 *6

= 189

X = 189 -60

= 129

substitute X in (a)

129 + Y = 144

Y = 144 - 129

= 15

weight of person who left is 15.

Answer:

Step-by-step explanation:

it is given that the weight of new person is 60kg

And the difference of, (New - Old ) AVG

= (31.5 - 24) kg = 7.5kg Avg Difference

And, the average difference in weight of 6 persons is 7.5 x 6 = 45kg

then, Weight of new person - weight of old person = difference in weight

so, 60kg - Old person's Weight = 45kg

and, 60 - 45 = 15kg(Old person's weight)

Answer= 15kg