Discussion
Two numbers are in the ratio 5 : 3 and they differ by 18. The larger number is:
Answer: D
Let the numbers be \(5k\) and \(3k\). Their difference is \(2k = 18\), so \(k = 9\). The larger is \(5 \times 9 = 45\) and the smaller is 27. Check: \(45 - 27 = 18\) and \(45 : 27 = 5 : 3\). Using the difference of the ratio terms, not their sum, is the key step.
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