Question

The average age of 10 children is 9 years 9 months. The average age
children is 8 years 11 months. What is the age of the tenth child?​

Answer 1

Answer:

Average age of 10 children = 9 years 9 months

sum of ages of 10 children = 9×10+912×10

= 3904

Average age of 9 children = 8 years 11 months

sum of age of 9 children = 8×9+1112×9

= 3214

Age of 10th child = 3904−3214=694

= 17 years 3 months

Answer 2

Answer:

Average age of 10 children = 9 years 9 months

sum of ages of 10 children = 9×10+9/12×10

= 390/4

Average age of 9 children = 8 years 11 months

sum of age of 9 children = 8×9+11/12×9

= 321/4

Age of 10th child = 390/4−321/4=69/4

= 17 years 3 months

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