Solution
Here the given H.C.F is 13. It means that both of the numbers will be multiple of 13.
here the ratio of two numbers is 7 : 11.
So the numbers are $$7\times13$$ and $$11\times13$$.
First number $$\times$$ Second number = L.C.M. $$\times$$ H.C.F
L.C.M. $$\times$$ 13 = $$7\times13\times11\times13$$
L.C.M. = $$7\times13\times11$$
= 1001
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