Question

Construct a word problem on simultaneous linear equation in two variables so that the value of one of the variables will be $10$ ( person, rupees, metres, years etc) and solve it.

Answer 1

Example:The sum of present ages of Madhu and Raju is $11$years.Madhu is elder than Raju by $9$ years.Find their present ages.

Solution:Let the present age of Madhu be $x$ years and the age of Raju be $y$ years.

$\therefore x+y=11$ .....$\left(1\right)$

$x-y=9$ .......$\left(2\right)$

Adding $\left(1\right)$ and $\left(2\right)$ we get

$2x=20$

$\therefore x=\frac{20}{2}=10$

And $x+y=11$

$\therefore 10+y=11$

$\therefore y=11-10=1$

$\therefore$ Present age of Madhu is $10$years and of Raju is $1$ year.