SOLUTION: A woman and her grandson have the same birthday. For six consecutive birthdays, she is an integral multiple of his age. How old is the grandmother at the sixth of these birthdays?

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Age -> SOLUTION: A woman and her grandson have the same birthday. For six consecutive birthdays, she is an integral multiple of his age. How old is the grandmother at the sixth of these birthdays?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 40057: A woman and her grandson have the same birthday. For six consecutive birthdays,
she is an integral multiple of his age. How old is the grandmother at the sixth of these birthdays?
Answer by fractalier(2101) About Me  (Show Source):
You can put this solution on YOUR website!
Using logic, I figured the child had to be
1, 2, 3, 4, 5, 6
years of age.
Then I looked at grandma starting at 41 but that didn't work, then 51 but that didn't work, but then I tried 61...
61, 62, 63, 64, 65, 66 works!
The answer is 66.
Good problem.