Question

Construct a word problem on simultaneous linear equations in two
variables so that the value of one of the variables will be 10 (persons, 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..
∴ x + y =11              ................(I)
    x - y = 9                        .................(II)
     2x = 20              adding (I) and (II)
∴    x = 10
   x  +  y = 11
∴  10 + y = 11
∴          y = 11 - 10
∴          y = 1
∴    Present age of Madhu is 10 years and of Raju is 1 year.