Two numbers are in the ratio 5:4 and their difference is 10.What is the largest number?

Let the the two numbers be 5x and 4x, then

the difference of the two numbers will be:

5x-4x=10

x=10

now, let’s find the numbers

5x

5*10

=50

4x

4*10

=40

so, the largest number is 50.