Question

Frame simultaneous linear equations in two variables representing the following information:

Sum of the ages of Monali and Sonali is 29 years. Monali is younger than Sonali by 3 years.

• A. $x+y=29,x-y=3$
• B. $x+y=29,x-y=-3$
• C. $x-y=29,x+y=3$
• D. None of these

Answer 1

The correct option is B $x+y=29,x-y=-3$

Let, the present age of Monali be $x$yrs and that of sonali be $y$yrs.
As per condition 1 ie., Sum of the ages of Monali and Sonali is 29 years.
The equation becomes,
$x+y=29$
As per condition 2 i.e., Monali is younger than Sonali by 3 years.
The equation becomes,
$x=y-3$
$\therefore x-y=-3$