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

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

Answer 2

Answer:

Ted is 14 years old, and Ed is 21 years old.

Step-by-step explanation: