Two numbers are in the ratio of 11 : 13. If their HCF is 7, find the numbers.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 77 and 91.
Let the required numbers be 11x and 13x.
Now, 11x = 11 × x ...(i)
And, 13x = 13 × x ...(ii)
From (i) and (ii), we can say that x is the highest common factor for both 11x and 13x.
Hence
x is the H.C.F. of 11x and 13x.
the H.C.F. of the numbers = 7
Hence x = 7
So
The numbers are 11 × 7 and 13 × 7 i.e., 77 and 91