Answer:
Sheri's age = 10
Terry's age = 30
Step-by-step explanation:
Sheri’s age in 20 years time will be the same as Terry’s age is now. Ten years from now.
Let T be the Terry's age
And S be the Sheri's age
[tex]S+20= T[/tex]
Ten years from now, Terry’s age will be twice Sheri’s age
[tex]T+10= 2(S+10)[/tex]
[tex]T+10= 2S+20[/tex]
Subtract 10 from both sides
[tex]T= 2S+10[/tex]
Now we replace T by 2S+10 in the first equation
[tex]S+20= T[/tex]
[tex]S+20= 2S+10[/tex]
Subtract S from both sides
[tex]20=S+10[/tex]
Subtract 10 from both sides
S= 10
[tex]T= 2S+10[/tex]
[tex]T= 2(10)+10=30[/tex]
Sheri's age = 10
Terry's age = 30
