Answer:
Anna is 41 years old.
Step-by-step explanation:
Easiest way to do this is by building a equation,
Lest say Anna's age is [tex]x[/tex].
Then as Peter is 3 years older than Anna Peter's age should be [tex]x+3[/tex].
Then the combined ages of the two people is given as 85. So we can write an equation as,
[tex]x+(x+3)=85[/tex]
[tex]x+x+3=85[/tex]
[tex]2x+3=85[/tex]
[tex]2x+3-3=85-3[/tex] (deducting 3 from both sides of the equation)
[tex]2x=82[/tex]
[tex]x=41[/tex]
As we originally took Anna;s age as [tex]x[/tex]
We can say Anna is 41 years old.
