Question

Two numbers are in the ratio 7:9. On subtracting 4 from each the ratio becomes 2:3 find the number?

Answer 1

Answer:

So basically the actual ratio is 7:9.

Or it can also be written as 7 units:9 units

Now let a unit = x

Therefore ratio is 7x:9x

And the 2 numbers are also 7x and 9x, because ratio is basically division, si when you calculate ratio of these 2 numbers, it comes out as 7:9 which is the actual ratio.

Now when 12 is subtracted from each number ratio becomes 3:5

Which in a similar way to what I have explained above can be written as 3x:5x and the numbers will be 3x and 5x

Now we have

7x-12=3x

7x-3x=12

4x=12

x=12/4=3

Now we have the value of x, which can be verified by putting it in the other equation that is

9x-12=5x

9(3)-12=5(3)

27–12=15

15=15

Therefore the 2 numbers are

7(3)= 21

9(3)= 27

When we multiply then both together

21(27) = 567

Therefore the answer to your question is 567