The average age of 5 boys is 13 years. One more boy joins them and the average age becomes 12 years. Find the age of the boy who joins?
nasirsomama:
7 yrs
Answers
Answered by
132
Hey Buddy
Here's The Answer
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We know Average ( Avg )
=> Avg = Net total / number
A.T.Q.
=>( Sum of ages of 5 boys ) / 5 =13
=> Sum of ages of 5 boys = 13 × 5
=> Sum of ages of 5 boys = 65
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# Now a boy is added of age ( x ) and average becomes 12
=> Total sum of ages / no = 12
=> ( Sum of ages of 5 boys + sixth boy )/ 6 = 12
=> ( 65 + x ) / 6 = 12
=> 65 + x = 72
=> x = 72 - 65
=> x = 7 years
# Age of sixth boy is 7 years
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Answered by
79
sum of 5 boys age = S
Avg = S / 5
13 = S/5
S = 65
after sixth boy joins
total sum of age = S + x
65 + x
now
avg = ( 65 + x )/6
ATQ
(65+ x ) / 6 = 12
x + 65 = 72
x = 7 yrs
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