The difference between two numbers is 96. One number is 9 times the other. What are the numbers? | MathCelebrity Forum

The difference between two numbers is 96. One number is 9 times the other. What are the numbers?

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The difference between two numbers is 96. One number is 9 times the other. What are the numbers?

Let x be the first number
Let y be the second number

We're given two equations:
  1. x - y = 96
  2. x = 9y
Substitute equation (2) into equation (1) for x
9y - y = 96

Plugging this equation into our math engine, we get:
y = 12

If y = 12, then we plug this into equation 2:
x = 9(12)
x = 108
 
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