max and his friend eke are comparing their ages. They figure out that if they double max's age from 3 years ago and add it to zee's current age, the sum is 26.If zeke is currently 8 years old determine how old max currently is.

Respuesta :

Limosa

Answer:

Max is currently 12 years old.

Step-by-step explanation:

Zeke's current age = 8 years

Lets take Max's current age as [tex]x[/tex] years.

Then Max's age 3 years ago = [tex]x-3[/tex]

Double Max's age 3 years ago = [tex]2*(x-3)[/tex]

Double Max's age 3 years ago + Zee's current age = 26

⇒ [tex]2*(x-3)[/tex] + [tex]8[/tex] = [tex]26[/tex]

=[tex]2*(x-3)+8=26[/tex]

=[tex]2x-6+8=26[/tex] (Simplifying the brackets)

=[tex]2x+2=26[/tex]

=[tex]2x+2-2=26-2[/tex][tex]2x=24

=[/tex][tex]x=12[/tex]

So Max's current age is 12 years.