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Q.

The number of boys and girls in a class is in the ratio 5:4. If the number of boys is 9 more than the number of girls, then the number of boys is ____.

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Detailed Solution

The number of boys and girls in a class is in the ratio 5:4. If the number of boys is 9 more than the number of girls, then the number of boys is 45.
Let the number of girls in class be x.
It is given that number of girls is 9 more than number of girls= x+9.
Also given the ratio of boys and girls in class is 5:4.
Using given condition to find the value of x:

⇒ x + 9 x = 54 ⇒ 4 x + 9 = 5 x ⇒ 4 x + 36 = 5 x ⇒ 5 x − 4 x = 36 ⇒ x = 36

Now, number of boys

= x + 9 = 36 + 9 = 45

.
Hence, the number of boys in class is 45.

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