Answer :
Answer:
Jason is 14 year old.
Step-by-step explanation:
Given: Joe, John and Jason are each a year apart in age.
Sum of their age is 39.
Lets assume the age of Joe be x
∴ Age of Jahn will be [tex](x+1)[/tex]
And age of Jason will be [tex](x+2)[/tex]
Now, putting up an equation for the sum of their age.
∴ [tex]x+(x+1)+(x+2)= 39[/tex]
Opening the parenthesis.
⇒[tex]x+x+1+x+2= 39[/tex]
⇒[tex]3x+3= 39[/tex]
Subtracting both side by 3
⇒ [tex]3x= 36[/tex]
Dividing both side by 3
⇒[tex]x= \frac{36}{3}[/tex]
∴ [tex]x= 12\ years[/tex]
Hence, Joe is 12 year old.
Next subtituting the value of x to find age of Jason and John.
Jason= [tex](x+2)= 12+2[/tex]
∴Jason= 14 years.
John age= [tex](x+1)= 12+1[/tex]
∴ John Age= 13 years.
Hence, Jason is 14 year of age.