a class of 30 boys, a 7 year old bny joins. Ifthe average remains unchanged. What is the sum of the ages of the class after the boy joined?
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Answer:
210
Step-by-step explanation:
Average = sum of observations / no. of observations
Let the average be x
First, x = sum/30
30x = sum ____(1)
Next, x = sum+7/31
31x = sum + 7 ___(2)
(2) - (1) => 31x - 30x = (sum+7)-(sum)
=> x = 7
Now, we substitute x = 7 in eqn 2
Because we require the sum of the ages of the class after the boy joined
Sum = 31x - 7 = 31*7 - 7 = 7*(31 - 1)
=> Sum = 7 * 30
=> Sum = 210
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