SOLUTION: the sum of the ages of Ira and Sofia is 26. the difference between t4 times Sofia's age and twice Ira's age is 8. what are their ages?

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Question 154566This question is from textbook Prentice hall Algebra 1
: the sum of the ages of Ira and Sofia is 26. the difference between t4 times Sofia's age and twice Ira's age is 8. what are their ages? This question is from textbook Prentice hall Algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation for each statement.
:
"the sum of the ages of Ira and Sofia is 26.
I + S = 26
or
I = (26-S)
:
" the difference between 4 times Sofia's age and twice Ira's age is 8."
4S - 2I = 8
;
Substitute (26-S) for I in the above equation, find S;
4S - 2(26-S) = 8
4S - 52 + 2S = 8
4S + 2S = 8 + 52
6S = 60
S = 10
Then
I = 26 - 10
I = 16
;
:
Check solution using the statement:
"the difference between 4 times Sofia's age and twice Ira's age is 8."
4(10) - 2(16) = 8