Question

The ratios of two numbers is 11:15 and their HCF is 13.what are those numbers

Answer 1

Two numbers are in the ratio 15: 11. So, let the numbers be 15x and 11x.

We know:

Product of two numbers is equal to the product of their LCM and HCF.

So, we have:

(15x) (11x) = (2145) (13)

x2 = 132

so, x = 13

Thus, the two numbers are 195 and 143.

Answer 2

Let the required numbers be 15.x and 11x. Then, their H.C.F. is x. So, x = 13. The numbers are (15 x 13 and 11 x 13) i.e., 195 and 143.

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