Question

9. The ratio of two numbers is 15:11 and their HCF is 13, find the numbers​

Answer 1

Answer:

15*13 and 11*13 ie 195 and 143

Step-by-step explanation:

Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers?

Let’s try to understand it more clearly.

Take two numbers say 20 and 36

we can write 20 as 2*2*5 and 36 as 2*2*3*3.

So ,hcf =2 *2

and ratio of the two numbers ie 20 and 36 is 5:9

If we want to get back our numbers from the ratio and hcf .We simply do 5*hcf and 9*hcf ie 5*4 and 9*4. We get our original numbers ie 20 and 36.

Apply the same thing to given problem.

Ratio is 15:11 ,hcf=13

So, numbers are 15*13 and 11*13 ie 195 and 143