Answer: D-18 years, Joan-41 years
Step-by-step explanation:
Given
The Sum of Debbie and Joan's age is 59
Take x and y as the age of Debbie and Joan
In 5 years, twice Debbie's age will be equal to Joan's age
[tex]\Rightarrow 2(x+5)=y+5[/tex]
[tex]\Rightarrow 2x+10=y+5\\\Rightarrow 2x-y=-5[/tex]
Also, [tex]x+y=59[/tex]
solving these two equations we get
[tex]\Rightarrow x=18;y=41[/tex]