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Two numbers are in the ratio 7 ∶ 11 and their HCF is 5. Find the difference in the numbers.1. 202. 253. 384. 32 |
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Answer» Correct Answer - Option 1 : 20 Given: The ratios of numbers are 7 ∶ 11 and HCF of number is 5 Concept Used: Basic concept of ratio and HCF Calculation: Let the numbers are in the ratio 7x ∶ 11x and we know that HCF is the common factors in both the numbers ∴ HCF of (7x and 11x) = x Now, HCF of numbers is 5 ∴ x = 5 Now, the numbers are in the ratio 7x ∶ 11x So, the numbers are 35 and 55 ∴ Difference of numbers will be = 55 - 35 = 20 Hence, option (1) is correct |
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