Question

the average age of 10 children is 8 years 2 months.if the average age of 9 children is 8 years 8 months.find the age of the 10th child​

Answer 1

Step-by-step explanation:

Correct Answer:

A) 17 years 3 months

Description for Correct answer:

Average age of 10 children = 9 years 9 months

sum of ages of 10 children = \( \Large 9 \times 10 + \frac{9}{12} \times 10 \)9×10+912×10

= \( \Large \frac{390}{4} \) 3904

Average age of 9 children = 8 years 11 months

sum of age of 9 children = \( \Large 8 \times 9 + \frac{11}{12} \times 9 \) 8×9+1112×9

= \( \Large \frac{321}{4} \)3214

Age of 10th child = \( \Large \frac{390}{4} - \frac{321}{4} = \frac{69}{4} \)3904−3214=694

= 17 years 3 months