Shanti has 3 daughters. The average age of them is 15 years. Their ages are in the ratio 3:5:7. The age of youngest daughter (in years)

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8 years

9 years

2 years

7 years

answer is B.

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Detailed Solution

Concept- The formula for average, which is a sum divided by the total number of units, has been known to us. We are familiar with their average ages and ratios in this problem. As a common multiple, we used x. We then equalize both the LHS and the RHS after entering the numbers into the formula. Equating resulted in the right response.
In this question, we are given shanty has three daughters and their ages are in ratio 3:5:7
Then the ages of daughters A, B and C will be 3x, 5x and 7x respectively.
It is given that the average age of their daughter’s age is 15.
It will look like after formulation

The daughter's ages are:
Question Image

As a result, the youngest daughter will be 9 years old.
Hence, the correct answer is option 2).

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