SOLUTION: Two numbers have a difference of 14. If the larger number is increased by 5 and the smaller number is squared, the sum will be 61. Write a system of equations for this question

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Question 1081796: Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question and then find the numbers

Found 2 solutions by jorel1380, MathTherapy:
Answer by jorel1380(3719)   (Show Source): You can put this solution on YOUR website!
Let the 2 numbers be n and n-14. Then:
n+5+(n-14)²=61
n+5+n²-28n+196-61=0
n²-27n+140=0
(n-20)(n-7)=0
n=20 or 7
This gives us the sets of (20,6) and (7,-7) as answers. ☺☺☺☺

Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!
Two numbers have a difference of 14. If the larger number is increased by 5
and the smaller number is squared, the sum will be 61. Write a system of
equations for this question and then find the numbers
Let the larger and smaller numbers be L, and S, respectively
Then system of equations is:
Correct answers:
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