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Two numbers are in the ratio 19 : 17. Their HCF is 11. Find the numbers.

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Two numbers are in the ratio 19 : 17. Their HCF is 11. Find the numbers.
1. 221, 247
2. 1700, 1900
3. 209, 187
4. 190, 170
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Correct Answer - Option 3 : 209, 187

Given:

Ratio of two numbers = 19 : 17 

HCF = 11 

Concept:

HCF = Highest Common Multiple

Calculation:

Let the numbers be 19h and 17h respectively, where h is the HCF. 

⇒ 19h = 19 × 11 = 209 

⇒ 17h = 17 × 11 = 187 

∴ The numbers are 209 and 187. 

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