Two numbers are in the ratio 3: 5. If 8 is
added to each number, the ratio becomes
2 : 3. Find the numbers.
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Let the required numbers be 3x and 5xGiven that if 8 is added to each other then ratio becomes 2: 3That is 3x + 8: 5x + 8 = 2: 3(3x + 8)/ (5x + 8) = 2/33 (3x + 8) = 2 (5x + 8)9x + 24 = 10x + 16By transposing24 – 16 = 10x – 9xx = 8Thus the numbers are 3x = 3 (8) = 24And 5x = 5 (8) = 40
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