The difference between two numbers is 11 and twice the smaller number, minus four, equals the larger number. Find the two numbers.
2x-4 = x+11
To find the two numbers, let's assign variables to them. Let's call the smaller number "x" and the larger number "y".
According to the given information, the difference between the two numbers is 11. This can be expressed as:
y - x = 11 ...equation (1)
It is also given that twice the smaller number, minus four (2x - 4), equals the larger number. This can be expressed as:
2x - 4 = y ...equation (2)
Now, we have a system of two equations with two variables. We can solve this system to find the values of x and y.
We can start by rearranging equation (1) to solve for y:
y = 11 + x ...equation (3)
Substitute equation (3) into equation (2):
2x - 4 = 11 + x
Simplify the equation:
2x - x = 11 + 4
x = 15
Now substitute the value of x back into equation (3) to find y:
y = 11 + 15
y = 26
So, the two numbers are 15 and 26.