Question

Sitha's age is 3 years more than three times the age of Madhu. write the linear equation in two variables to represent this information.

Answer 1

Hint: To write the linear equation of the statement mentioned in the question just let the Sitha’s age is y and the Madhu’s age is x. Then frame the equation according to the question as it says that the age of Sitha’s age is 3 years more than 3 times the age of Madhu.

Complete step-by-step answer:
Consider that the present age of Sitha is \[x\] years and the present age of Madhu’s is \[y\] years.
Then, according to the question, it says that the age of Sitha’s age is 3 years more than 3 times the age of Madhu.
So the three times of Madhu’s age means \[3x\]
Because we have assumed the present age of the Madhu is x years.
Similarly 3 more than the 3 times of the Madhu’s age will be \[\;3x + 3\]
And finally question says that the age of the Sitha’s is 3 years more than the 3 times of the age of Madhu’s,
So mathematically we can express as
 \[y = 3x + 3\]
Hence this is the required linear equation of Madhu’s and Sitha’s age relation.
So, the correct answer is “ \[y = 3x + 3\] ”.

Note: There is no any boundation in supposing the present age of both the persons in place of x we can suppose y and in place of y we can suppose x. the only changes occur in the linear equation variable position but it will not get change the nature of equation from linear to other.