Question:
Three numbers are in the ratio 2 : 3 : 5 and their HCF is 6. The numbers are :
Three numbers are in the ratio 2 : 3 : 5 and their HCF is 6. The numbers are :
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When working with ratios and HCF, the common factor \( x \) is the HCF divided by the ratio.
Updated On: Feb 15, 2025
- 12, 18, 30
- 8, 12, 20
- 16, 24, 40
- 4, 6, 10
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The Correct Option is A
Solution and Explanation
Let the three numbers be \( 2x, 3x, 5x \).
The HCF of these numbers is 6, so \( x = 6 \).
Thus, the numbers are:
\[ 2x = 12, \quad 3x = 18, \quad 5x = 30. \]
Therefore, the numbers are 12, 18, and 30, which corresponds to option (A).
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