The difference between 2 numbers is 18. One number is 4 Times as great as the other. What are the two numbers

Question

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Answer 1

We have two different numbers, so we can use two different variables: X , Y

Difference merely means subtraction, so we write:

X - Y = 18

Now, we show their other relationship:

X = 4Y

Since the X is already alone, we can quickly substitute it into the first equation:

4Y - Y = 18

   3Y    = 18

  /3         /3

      Y = 6

Now, we substitute back into the 2nd equation:

X = 4Y

X = 4(6)

X = 24