contestada

The sum of Debbie and Joan’s present ages is 59 years. In 5 years, twice Debbie’s age will be equal to Joan’s age. Determine their ages.

Respuesta :

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]