math word problem

Question

amy is 5 years younger than josh. she is twice sams age. joshs age is less than 16. sam is older than 4. how old is sam?

Answer 1

let the ages be Afor amy,J for josh,S for sam

 

now given conditions are  J<16,  S>4,  A= J-5 and A=2S

 

So  if we take different cases..

 

 

Let S is 5 ,then A is 10 and J is 15    all conditions satisfied

 

if we take S is 6 then A is 12 ,J becomes 1 7   so J<16 not satisfied  

 

you can see that for any other case ,it wont be possible 

 

so S has to be 5 .