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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?

 Apr 22, 2021
 #1
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Let's make this into an algebraic equation.

 

is the bigger number and 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.

 Apr 22, 2021

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