SOLUTION: Little Amanda is visiting grandmother. "How old are you really, Grandma?" asks Amanda. "Three years ago I was six times as old as you. In three years I'm four times as old as you,"

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Question 396755: Little Amanda is visiting grandmother. "How old are you really, Grandma?" asks Amanda. "Three years ago I was six times as old as you. In three years I'm four times as old as you," replies the grandmother.
How old is Amanda?
And how old is grandma?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Three years ago I was six times as old as you

Let x and 6x represent Amanda's and her grandmother's ages '3 years ago'

Question states*** 6 years after that time...

 6x + 6 = 4(x + 6)

solving for x

 6x + 6 = 4x + 24

    2x = 18

     x = 9, Amanda's age 3 year ago. Her grandmother was then 54.

NOW, the grandmother is 57



CHECKING our Answer*** (Amanda is NOW 12)

57 + 3 = 4(12 + 3) = 60