year.
The average age of 10 children is 6 years 6 months. If the average age of 9
children is 6 years 2 months, find the age of the 10th child.
Answers
Answered by
1
Step-by-step explanation:
Average age of 10 children is 9 years 9 months.
12 months together make one year.
→ Age of 10 children = \sf{9\:+\:\dfrac{9}{12}}9+
12
9
Age of 1 children = \sf{9(10)\:+\:\dfrac{9}{12}(10)}9(10)+
12
9
(10)
arrow\:\sf{90\:+\:\dfrac{90}{12}}arrow90+
12
90
arrow\:\sf{\dfrac{1080\:+\:90}{12}}arrow
12
1080+90
arrow\:\sf{\dfrac{1170}{12}}arrow
12
1170
arrow\:\sf{\dfrac{390}{4}}arrow
4
390
...(1)
Similarly,
Average age of 9 children is 8 years 11 months.
→ Age 9 children = \sf{8\:+\:\dfrac{11}{12}}8+
12
11
Age of 1 children = \sf{8(9)\:+\:\dfrac{9}{12}(9)}8(9)+
12
9
(9)
arrow\:\sf{72\:+\:\dfrac{81}{12}}arrow72+
12
81
arrow\:\sf{\dfrac{864\:+\:81}{12}}arrow
12
864+81
arrow\:\sf{\dfrac{945}{12}}arrow
12
945
arrow\:\sf{\dfrac{321}{4}}arrow
4
321
....(2)
Now, we have to find the age of tenth child.
So,
Age of tenth child = Average age of 10 children - Average age of 9 children
Substitute value of equation (1) and (2) above, to find the age of tenth child
\implies\:\sf{\dfrac{390}{4}\:-\:\dfrac{321}{4}}⟹
4
390
−
4
321
\implies\:\sf{\dfrac{390\:-\:321}{4}}⟹
4
390−321
\implies\:\sf{\dfrac{69}{4}}⟹
4
69
\implies\:\sf{17.25}⟹17.25
•°• Age of tenth child is 17 years 3 months.
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Answered by
0
Answer:
The Smallest 5_digit numeral
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