I am thinking of two numbers. The smaller number is 90% of the bigger number. The sum of the numbers is 95. What is the difference between the two numbers?
Let's make this into an algebraic equation.
x is the bigger number and y is the smaller one.
y = x * 0.90
x + y = 95
From solving this system of equations, we get:
x = 50
y = 45
Now, from this, we need to find the difference between the two numbers. This isn't that hard:
50 - 45 = 5.
So, the difference between the two numbers is 5.