SOLUTION: The sum of two integers is 30.Eight times the smaller integer is six more than five times the larger integer.Find the integers

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Question 49789: The sum of two integers is 30.Eight times the smaller integer is six more than five times the larger integer.Find the integers
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two integers is 30. Eight times the smaller
integer is six more than five times the larger integer.
Find the integers


Let S = the smaller
Let L = the larger

>>...The sum of two integers is 30...<<

Translation:

S + L = 30

>>...Eight times the smaller integer is six more than
five times the larger integer...<<

Translation:

8S = 5L + 6

So you have the system of equations:

S + L = 30
8S = 5L + 6

Can you solve that system?  If not post again.

Answer: S = 12,  L = 18

Check: 8 times 12 is 96 and 5 times 18 is 90.
Ans sure enough, 96 is 6 more than 90.

Edwin