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