The difference of two numbers is 9 the larger number is 6 less then twice the smaller number. gind the number

The numbers are 15 and 24

Hi there!

To solve this problem, we need to set up two equations.

Let x equal the larger number.
Let y equal the smaller number.

x - y = 9
x = 2y - 6

Those are our two equations ^.

Since we know that x is equal to 2y - 6, we can plug the value of x into the equation x - y = 9 and find y.

x - y = 9
x = 2y - 6

2y - 6 - y = 9
2y - y - 6 = 9
y - 6 = 9
y = 9 + 6
y = 15

Now, we do the same to the value of y - plug it into the equation - and solve for x:

y = 15
x - y = 9
x - 15 = 9
x = 9 + 15
x = 24

So, the numbers are 24 and 15.

Hope this helps!