The average weight of 10 men is decreased by 2 kg, when one of them weighing 60 kg is replaced by a new person. Find the weight of the new person.
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Answer:
Assume,
a= Original average 0f 10 men
S= Sum of ages of 9 persons + Age of 1oth person
S= S9+80
Now,
a = S/10 = (S9+80)/10
a = (S9/10)+8 ——(1)
Let 80 kg weight be replaced by weight ‘w’ of a new man such that average decreases by 3 kg.
a-2 = (S9+w)/10
a-2 = (S9/10)+(w/10) ——(2)
From (1) and (2),
a-2 = a-8+(w/10)
5= w/10
w= 50
Ans: Weight of the new man is 40
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