Question 32976
Let conner age = c 

Now we are given that josh age = 12 years

also, according to the condition in the question i.e. If we add 2 to Conner’s age, it is exactly ½  the age of their older brother Josh..we get the equation.

c + 2 =  ( josh age )/ 2 

now put the value of josh age in the equation and we get

c + 2 = 12/2

c + 2 = 6 

subtract 2 from both sides and we get,,,

c = 4 

therefore conner age = 4 years

Hope this will help you 

Please feel free to revert back for any further queries.