SOLUTION: Two numbers differ by 16. The sum of twice the larger number and three times the smaller number is equal to 72. Find the numbers
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Question 699427: Two numbers differ by 16. The sum of twice the larger number and three times the smaller number is equal to 72. Find the numbers
Answer by neatmath(302) (Show Source): You can put this solution on YOUR website!
This is a system of equations with two variables:
Let x be the larger number, let y be the smaller number. Then:
given
given
At this point you can use any method to solve for x or y.
Let's use substitution, by solving the first equation for x:
Then substitute this value for x into the second equation:
If y=8, then it is easy to see that:
So the two numbers are 24 and 8.
Check it, it works.
I hope this helps! Keep practicing! :)
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