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The ratio of two numbers is 5:3 and their difference is 20. What are the numbers? A. 55, 35 B. 50, 30 C. 40, 60 D. 45, 65​

Sagot :

Answer:

B. 50, 30

To find the two numbers given their ratio of 5:3 and their difference of 20, we let the numbers be \(5x\) and \(3x\). The equation representing their difference is \(5x - 3x = 20\). Solving for \(x\), we get \(2x = 20\), which simplifies to \(x = 10\). Substituting \(x\) back into the expressions for the numbers, we find \(5x = 50\) and \(3x = 30\). Therefore, the numbers are 50 and 30, making the correct answer B. 50, 30.