Two numbers are such that the ratio between them is 1:2. If each is increased by 10, the ratio between the new numbers so formed is 3:5. Find the original numbers.
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Let the numbers be 3x and 5x. According to the question we can write as (3x+10) / (5x+10) = (5/7) On cross multiplying we get 7(3x+10) = 5(5x+10) 21x+70=25x+50 On rearranging or transposing 70-50=25x-21x 4x=20 x=20/4=5 So the numbers are 15 and 25
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