The average age of 10 children is 9 years 9 months. The average age of 9 children is 8 years 11 months. What is the age of the tenth child?
Answers
Answer:
solved
Step-by-step explanation:
let age of the tenth child = a
a = 10(9 9/12) - 9(8 11/12) = (1170 - 963)/12 = 207/12 = 17.25 years
17 years 3 months is the age of the tenth child
Step-by-step explanation:
The average age of 10 children is 9 years 9 months.
1 year = 12 month
=> 1 month = 1/12 years
9 months = 9/12 = 3/4 Years
The average age of 10 children is 9 + 3/4 years = 39/4 Years
Total age of 10 children = 10 * 39/4 = 195/2 Years
The average age of 9 children is 8 years 11 months
= 8 + 11/12 = 107/12 Years
Total age of 9 children = 9 * 107/12 = 3 * 107/4
= 321/4
Age of 10th child = 195/2 - 321/4
= ( 390 - 321)/4
= 69/4
= 17 + 1/4 Years
= 17 years + 12/4 months
= 17 years 3 months
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