Question 154566
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