James is four times as old as judy. in two years, james will be twice as old as judy later on. how old is james and judy now

Let Judy be j years old;

Then James is 4j

In two years time

Judy = (j+2) years

James = (4j+2) years

James will twice as old;

4j+2=2 (j+2)

4j+2=2j+4

4j-2j=4-2

2j=2

j=1

Judy is 1 year old and James is 4 years old