a 16. In a class average age of 37 boys is 6. If 11 boys each of age 4 years are added, what would be the new averag​

Answers 2

average =6 , n =37

-11×2 = -22, n1 = 37+11 =48

-22/48 = -11/24

new average = 6-11/24 = 5.54 years

Given : In a class average age of 37 boys is 6. 11 boys each of age 4 years are added.

To find : The new average.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the new average)

Now,

Average age of 37 boys = 6 years

Sum of ages of 37 boys = Average of 37 boys × 37 = 6 × 37 = 222 years

Now, 11 boys each of age 4 years are added.

Sum of ages of 11 new boys = Age of each boy × Number of boys = 4 × 11 = 44 years

Now, the total number of boys = Initial number of boys + Number of newly added boys = 37 + 11 = 48

Sum of the ages of the 48 boys :

= Sum of ages of 37 boys + Sum of ages of 11 boys

= 222 + 44

= 266 years

Average age of 48 boys

= Sum of the ages of the 48 boys ÷ 48

= 266 ÷ 48

= [tex] 5\frac{13}{24} [/tex] years

(This will be considered as the new average.)

Hence, the new average is 5¹³/₂₄ years.

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