1. x is greater than y by 12 and the respective ratio, between x and y is 3 : 2. What is the sum of a third number z and x, if z is 1/3 of y ?






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  • By: anil on 05 May 2019 01.40 am
    x is greater than y by 12 and the respective ratio, between x and y is 3 : 2 => $$x - y = 12$$ => $$x = 12 + y$$ Also, $$frac{x}{y} = frac{3}{2}$$ => $$frac{12 + y}{y} = frac{3}{2}$$ => $$24 + 2y = 3y$$ => $$3y - 2y = y = 24$$ => $$x = 12 + 24 = 36$$ Now, $$z = frac{1}{3} imes y$$ => $$z = frac{1}{3} imes 24 = 8$$ $$ herefore z + x = 8 + 36 = 44$$
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