SOLUTION: The difference of two numbers is 16. the larger number is 4 less than 3 times the smaller. Find the two numbers

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Question 230586: The difference of two numbers is 16. the larger number is 4 less than 3 times the smaller. Find the two numbers
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
The difference of two numbers is 16. The larger number is 4 less than 3 times the smaller. Find the two numbers

Step 1. Let x be one and smaller number.

Step 2. Let 3x be three times the smaller number.

Step 3. Let x+16 be the other number since their difference is 16.

Step 4. Then x+16=3x-4 since since the larger number is 4 less than 3 times the smaller.

Step 5. Solving x+16=3x-4 leads to the following steps.

Add 4-x to both sides of the equation to get only x terms on one side and only numbers on the other side.

x%2B16%2B4-x=3x-4%2B4-x

20=2x

Divide by 2 to both sides to find x

20%2F2=2x%2F2

x=10 and 16%2B10=26

Check if larger number is 4 less than three times the smaller.

26=3%2A10-4

26=26 which is a true statement

Step 6. ANSWER: The numbers are 10 and 26.