While teaching about the Indian national flag, teacher asked the students that how many are there in blue colour wheel? One student replies that it is 8 times the number of colours in the flag. While the other says the sum of the number of colour in the flag and number of lines in the wheel of the flag is 27. Convert the statements given by the students into linear equations of two variables and find the number of lines in the wheel.

Solution: let the no. of wheels be x and no. of colours in flag be y.According to question, The sum of number of colours in the flag and number of lines in the wheel of the flag is 27.

x + y=27          ……(1)

Number of lines in blue colour wheel = 8 times the number of colours

x=8y                ……(2)

Substituting x=8y in eq.1, we get

8y+y=27

9y=27

y=3

putting y=3 in eq.2, we get 

x=8 x 3

x=24

So, the no. of wheels in a flag is 24.



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