Answer:
The numbers are 7 and 5.
Step-by-step explanation:
We solve this question by a system of equations.
I am going to call the numbers x and y, with x being the larger.
One number is two more than another.
This means that x = y + 2.
Six times the smaller equals 5 less than 5 times the larger
Six times the smaller is 6y.
5 less than 5 times the larger is 5x - 5. So
6y = 5x - 5
Since x = y + 2.
6y = 5(y+2) - 5
6y = 5y + 10 - 5
6y - 5y = 5
y = 5
x = y + 2 = 5 + 2 = 7
The numbers are 7 and 5.
