Sam's mother is twice as old as Sam. In 12 years, Sam will be as old as his mother was 12 years ago. How old is Sam now

Respuesta :

Answer:

  24

Step-by-step explanation:

You want Sam's age if his mother is twice as old, and Sam will be as old in 12 years as his mother was 12 years ago.

Age difference

If we let m and s represent the mother's age and Sam's age now, respectively, the latter relation tells us ...

  s +12 = m -12

Rearranging gives ...

  m - s = 24

Twice

Sam's mother is twice as old as Sam, so we have ...

  m = 2s

Substituting into the above equation gives ...

  2s -s = 24 . . . . . . substitute 2s for m

  s = 24 . . . . . . . . simplify

Sam is now 24 years old.