10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

The difference between two numbers is 24 and one number is three times the other number find them.

A) \[36,12\]

B) \[30,10\]

C) \[40,14\]

D) \[33,11\]

Correct Answer: A

Solution :

[a] Let the two numbers be x and y where \[x>y\].

According to the question,

\[x-y=24\] ...(1)

and \[x=3y\Rightarrow x-3y=0\] ...(2)

Subtracting eq. (2) from eq.(1), we get

\[2y=24\Rightarrow y=12\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,x=3y=3\times 12=36\]