Construct a word problem on simultaneous linear equations in two variables so that the value of one of the variables will be 18 (persons, rupees, metres, years etc.) and solve it.
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Example:The sum of present ages of Madhu and Raju is 11years.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 .....(1)
x−y=9 .......(2)
Adding (1) and (2) we get
2x=20
∴x=
2
20
=10
And x+y=11
∴10+y=11
∴y=11−10=1
∴ Present age of Madhu is 10years and of Raju is 1 year.
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