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) (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.
Divide by 2 to both sides to find x
and
Check if larger number is 4 less than three times the smaller.