1.

Two numbers are in the ratio 7 ∶ 11 and their HCF is 5. Find the difference in the numbers.1. 202. 253. 384. 32

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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