The ratio of Neha's age to that of Jane is 4:7 and the ratio of Jane's age to that of Smita is 4:3. If Smita is 21 years old, how old is Neha?

$\frac{\mathrm{Neha}\text{'}\mathrm{s}\mathrm{age}}{\mathrm{Jane}\text{'}\mathrm{s}\mathrm{age}}=\frac{4}{7}$

So, Neha's age = $\frac{4}{7}\times $ Jane's age.........(i)

Now, Ratio of Jane's age to that of Smita is 4:3. This means;

$\frac{\mathrm{Jane}\text{'}\mathrm{s}\mathrm{age}}{\mathrm{Smita}\text{'}\mathrm{s}\mathrm{age}}=\frac{4}{3}$

So, Jane's age = $\frac{4}{3}\times $ Smita's age = $\frac{4}{3}\times 21=28$ years

Putting Jane's age in (i) we get;

Neha's age = $\frac{4}{7}\times 28=16$ years

Therefore Neha is 16 years old.

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