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PAIR OF LINEAR EQUATIONS IN TWO VARIABLES52. Form the pair of linear equations in the following proble(if they exist) by the elimination method:(i) If we add I to the numerator and subtract from the denomlons in the following problems, and find their solutionsract from the denominator, a fraction reducesto 1. It becomesif we only add I to the denoWe only add I to the denominator. What is the fraction?(ii) Five years ago, Nuri was thrice as old as Sonu. Ten yearswas thrice as old as Sonu. Ten years later, Nuri will be twice asold as Sonu. How old are Nuri and Sonu?Yui) The sum of the digits of a two-digit number is 9. AlsoTa two-digit number is 9. Also, nine times this number isnumber obtained by reversing the order of the digits. Find the number.(iv) Meena went to a bank to withdraw 32000. She asked the cashier to giveand 100 notes only. Meena got 25 notes in all. Find how many notes of350 and 100 she received.(Vy A lending library has a fixed charge for the first three days and an additional chargefor each day thereafter. Saritha paid 27 for a book kept for seven days, while Susypaid 21 for the book she kept for five days. Find the fixed charge and the chargefor each extra day.

Answer»

Let the fixed charge be xLet the additional charge be yA. T. Q.Condition---1 x+4y=27 --1 Condition--2x+2y=21 ---2Now, by elimination method x+4y=27 x+2y=21 – – –-------------------- 2y=6 y=6/2 y=3put y in eq. 1 x+4*3=27x+12=27 x=27–12 x=15fixed charge is ₹15 additional charge is ₹3

the height of ram is 1/2/3m and that of that of shyam is 1/1/3m.who is taller and by how much?



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