Question

In a school library, the ratio of mathematics books to science is the same as the ratio of science books to hindi books. If there are 450 books in science and 300 books in hindi, find the number of books in mathematics.

Answer 1

Let x, y and z represent science, maths and hindi books respectively.

ATQ, x:y=x:z
or,
\frac{x}{y} = \frac{x}{z}yx​=zx​ 
or, 
\frac{900}{y} = \frac{900}{600}y900​=600900​ 
or, 
\frac{y}{900} = \frac{2}{3}900y​=32​ 
or, y=600



Hence, there are 600 mathematics books.


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Answer 2

I hope it helps:

Please refer to the attachment....