Question

The average age of 25 boys is 12 years. The average age of 15 girls is 16 years. What of the boys and girls taken together?​

Answer 1

Answer:

13.5

Step-by-step explanation:

Average of boys = 12

Total age of boys / Total number of boys = 12

Total age of boys / 25 = 12

Total age of boys = 25 * 12 = 300

Average of girls = 16

Total age of girls / Total number of girls = 16

Total age of girls / 15 = 16

Total age of girls = 15 * 16 = 240

Average of boys and girls taken together =

Total age of boys + girls / Total number of boys + girls

==: 300 + 240 / 25 + 15

==: 540 / 40

==: 13.5

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Answer 2

Step-by-step explanation:

Let x be the sum of all the ages of the boys.

So, x/25 = 12

x = 300

Let y be the sum of all the ages of the girls.

So, y/15 = 16

y = 240

Therefore the sum of the ages of boys and girls = 300 + 240 = 540

Total no. of boys and girls = 25 + 15 = 40

So, the average age of boys and girls taken together = 540/40 = 27/2 = 13.5 years