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)

∴ Present age of Madhu is 10 years and of Raju is 1 year.