1. The denominators of two fractions are 5 and 7 respectively. The sum of these fractions is 41/35 . On interchanging the numerators, their sum becomes 43/35 . The fractions are
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By: anil on 05 May 2019 01.39 am
Let the two fractions be $$frac{x}{5}$$ and $$frac{y}{7}$$ Acc to ques, => $$frac{x}{5} + frac{y}{7} = frac{41}{35}$$ => $$frac{7x + 5y}{35} = frac{41}{35}$$ => $$7x + 5y = 41$$ After interchanging the numerators => $$frac{y}{5} + frac{x}{7} = frac{43}{35}$$ => $$frac{5x + 7y}{35} = frac{43}{35}$$ => $$5x + 7y = 43$$ Solving above equations, we get : => $$x = 3 , y = 4$$ $$ herefore$$ Original fractions = $$frac{3}{5} , frac{4}{7}$$
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