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Two numbers are in the ratio of 11: 13. If their HCF is 7, find the numbers.
Question

Two numbers are in the ratio of 11: 13. If their HCF is 7, find the numbers.

A.

63 and 70

B.

77 and 91

C.

70 and 80

D.

21 and 28

Correct option is B

Given:
Ratio of two numbers = 11 : 13
HCF = 7
Concept Used:
HCF of two numbers is the highest common factor of both of them. 
Solution:
Let the numbers be 11 x and 13x.
Then, H.C.F. = x
As we have given, x = 7
First number is,
=> 11x
=> 7 × 11 = 77
Second number is,
=> 13x
=> 13 × 7 = 91

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