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

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.

which is a true statement

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

RELATED QUESTIONS
The difference of two numbers is 75. The larger number is 3 less than four times the... (answered by htmentor)

the sum of two numbers is two. the difference between eight and twice the smaller number (answered by checkley71,ankor@dixie-net.com)

The sum of two numbers is = 26. The larger of the numbers is 4 less than 3 times the... (answered by TimothyLamb)

Two positive numbers have a difference of 8. The larger number is 2 less than 3 times the (answered by macston)

Please Help!!! The difference if two numbers is 4. The larger number is 5 less than... (answered by chriswen)

the larger of the two numbers is 4 less than 5 times the smaller. when the smaller number (answered by plover)

of two numbers , 4 times the smaller one is less than 3 times the larger one by 6, the... (answered by ankor@dixie-net.com)

the larger of two numbers is 4 less than 5 times the smaller. when the smaller number is... (answered by ankor@dixie-net.com)

The larger of two numbers is 4 less than five times the smaller. When the smaller number... (answered by solver91311)