Answer:
See explanation below.
the numbers are 27 and 36
or
the numbers are 4 and 13
Explanation:
Let the numbers be x and y.
"the difference between two positive numbers is 9"
y - x = 9
One of your statements is:
"one number is three times less than four times the other"
Are you sure the first word times belongs there?
If so, then the second equation below is correct.
y = 4x/3
y = x + 9
y = 4x/3
4x/3 = x + 9
4x = 3x + 27
x = 27
y = x + 9
y = 27 + 9
y = 36
Answer: the numbers are 27 and 36
If the second statement is really:
"one number is three less than four times the other number"
without the first word "times"
then the second equation is
y = 4x - 3
The equations are:
y - x = 9
y = 4x - 3
4x - 3 - x = 9
3x = 12
x = 4
y - 4 = 9
y = 13
Answer: the numbers are 4 and 13