Frame and solve the equations for the following statements:
Two numbers are in the ratio 5 : 3. If they differ by 18, what are the numbers?
Let the numbers be 5x and 3x
Then according to the question,
5x – 3x = 18
⇒ 2x = 18
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⇒ x = 9
⇒ 5x = 5 × 9 = 45
⇒ 3x = 3 × 9 = 27
Hence, the numbers are 45 and 27.
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