Question 49789
<font size = 5 color = "indigo"><pre><b>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</pre></font></b>