Question

Ed is 7 years older than Ted.Ed's age is also 3/2 times Ted's age.How old is Ed and Ted

Answer 1

`x-Ted's\ age\\x+7-Ed's\ age\\\\x+7=(3)/(2)x\ \ \ |subtrac\ 7\ from\ both\ sides\\\\x=(3)/(2)x-7\ \ \ |subtract\ (3)/(2)x\ from\ both\ sides\\\\-(1)/(2)x=-7\ \ \ |multiply\ both\ sides\ by\ (-2)\\\\\boxed{x=14}\leftarrow\ Ted's\ age\\\\14+7=\boxed{21}\leftarrow Ed's\ age`