The average age of 8 girl is 15 and the average age of 6 girl is 13 find the age of other two girls with equal age

Answer 1

Let's represent the age of the two girls with x.
To find the average age of the remaining two girls, we can use the formula:

Average age = (sum of all ages)/(total number of girls)

For the first group of 8 girls:
Average age = 15
Total age of the 8 girls = 15 * 8 = 120

For the second group of 6 girls:
Average age = 13
Total age of the 6 girls = 13 * 6 = 78

Now, let's consider the total age of all the girls:
Total age = Total age of the first group + Total age of the second group + Total age of the two remaining girls

Total age = 120 + 78 + x + x

Since the total number of girls is 8 + 6 + 2 = 16:
Average age = Total age / Total number of girls
15 = (120 + 78 + 2x) / 16

Multiplying both sides by 16:
240 = 198 + 2x

Subtracting 198 from both sides:
42 = 2x

Dividing both sides by 2:
x = 21

Therefore, the age of the two remaining girls is 21.