APPLICATION TO PROBLEMS BASED ON FRACTION PAIR OF LINEAR EQUATIONS IN TWO VARIABLES 03 Class 10th Mathematics (Practice Sheet) 1 If you add 2 to the numerator and 3 to the denominator of a fraction, it becomes 3 5 . What is the original fraction? A. 5 8 B. 4 7 C. 2 4 D. 1 2 2 You have a cake divided into 10 equal pieces. If you've eaten 4 pieces, what fraction of the cake is left? A. 1 10 B. 3 10 C. 4 10 D. 6 10 3 If you add 3 to the numerator and 1 to the denominator of a fraction, it becomes 2 3 . What is the original fraction? A. 3 2 B. 4 5 C. 5 7 D. 1 4 4 A recipe calls for 1 2 cup of milk. If you want to make a double recipe, how much milk do you need? A. 1 4 cup B. 1 cup C. 2 cups D. 1 2 cup 5 If you subtract 2 from the numerator and add 1 to the denominator of a fraction, it becomes 1 7 . What is the original fraction? A. 3 7 B. 4 8 C. 2 6 D. 5 9 6 Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method: Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu? 7 The numerator of a fraction is 4 less than the denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator is eight times the numerator. Find the fraction. 8 A fraction becomes 1 3 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the numerator and denominator, it becomes 1 2 . Find the fraction. 9 If we add 1 to the numerator and subtract 1 from the denominator, a fraction becomes 1. It also becomes 1 2 if we only add 1 to the denominator. What is the fraction? Page 1 Email: Phone No: Website:
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