the average age of three girls is 15 years if their ages are in the ratio 3:5:7 then the age of youngest girl among them is?
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the average age of three girls is 15 years if their ages are in the ratio 3:5:7 then the age of youngest girl among them is?
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Given,
The average age of three students is 15 years. And their ages are in the ratio 3:5:7.
To find,
The youngest students among them.
Solution,
The average age of three students is = 15 years.
Then, the sum of the ages of three students is = 15 years +15 years+15years = 45 years.
The ages of the students are in the ratio of 3:5:7.
Then, their ages are 3x, 5x, and 7x.
⇒ 3x+5x+7x=45
⇒ 15x=45
⇒ x=3
Then the age of the first student is 3x = 3(3) = 9 years.
The age of second student 5x = 5(3) = 15 years.
The age of third student 7x = 7(3) = 21 years.
The youngest girl among three girls is the first girl whose age is 9 years.
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