Answer:
Alvin: 49
Elga: 40
Step-by-step explanation:
Hey there!☺
[tex]Answer:\boxed{40}[/tex]
[tex]Explanation:[/tex]
Elga's age can be represented as "x". If Elga is x years old, then Alvin's age would be represented as "x+9", since Alvin is 9 years older than Elga.
Their combined age is 89. If you were to write that as an equation in terms of "x", you would have the following equation.
[tex]x+x+9=89[/tex]
Since the question is asking for Elga's age, which is x, you're going to be solving the equation for the value of x.
First add like terms: [tex]x+x+9=89 \rightarrow 2x+9=89[/tex]
Subtract both sides by 9 to leave x alone: [tex]2x+9-9=89-9 \rightarrow 2x=80[/tex]
Divide both sides by 2 to find x: [tex]\frac{2x}{2} = \frac{80}{2} \rightarrow x=40[/tex]
Since x is equal to 40, Elga is 40 years old, and Alvin would be 49 years old.
You can also check if the answer is correct by adding their ages.
[tex]40+49=89\ \br \checkmark[/tex]
Elga is 40 years old.
Hope this helps!
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