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11     Soha solves a linear equation: Is she correct? If not then in which step she has made
                      mistake.  Solve and find the value of x.

















               12     A positive number is 5 times another number. If 21 is added to both the numbers then
                      one of the new numbers becomes twice the other new number. Find the numbers.

               13     Amrit lives in Bhubaneswar. He travels every day by cab. The fixed charge of the cab is ₹x

                      and charge per km is ₹5.

                      On Monday he had to pay ₹60.
                    i.       find the linear equation for the journey of 10 km.
                      (a) x + 50 = 60
                      (b) x – 50 = 60
                      (c) x + 50 = 50
                      (d) None of these
                    ii.      In the above question, what is the value of fixed charge?

                      (a) ₹20

                      (b) ₹5

                      (c) ₹10

                      (d) ₹15
                   iii.      If in a city a person has to pay ₹110 for a journey of 15 km and fixed charge is ₹20
                      then what is the charge per km is?

                                        (a)₹12

                                        (b) ₹6
                                        (c) ₹8

                                        (d) no fixed charge
                       iv.   If in a city fixed charge is double of the charge per km and a person paid ₹75 for a
                             journey of 1 km, then the linear equation for the following situation is?
                    v.        According to the given equation: 2x + 17 = 85, if ₹17 is the fixed charge and the

                      total fare is ₹85 for a journey of 2km then what is the charge per kilometre?
               ANS  Ans-
                      1)A. 4
                      2) A. 16,17,18
                      3) 8 and 3
                      4)40,60,80
                      5) To prove LHS=RHS
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