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Basic Mathematics QUESTION #7657
Question 1
If A and B are in the ratio 3:4, and B and C are in the ratio 12:13, then A and C will be in the ratio:
  • \(9 : 13\)✔️
  • \(9 : 13\)
  • \(36 : 13\)
  • None of these
Correct Answer Explanation
Given \(A : B = 3 : 4\) and \(B : C = 12 : 13\). To find \(A : C\), we need to make B equal in both ratios. Multiply first ratio by 3: \(A : B = 9 : 12\). Now \(B = 12\) in both ratios. Therefore, \(A : B : C = 9 : 12 : 13\), giving \(A : C = 9 : 13\).