Will is twice as old as Jill. Three years ago, Jill's age was two fifths of Will's age then. How old is each now?

1 answer:

4 0

"Will is twice as old as Jill."

   Jill's age . . . . .   J
   Will's age . . . . 2J .

"Three years ago . . .

   Jill's age then . . . . .   J - 3
   Will's age then . . . . 2J - 3

". . . Jill's age then was 2/5 of Will's age then."

   J - 3 = (2/5) (2J - 3)
Multiply
each side by 5 : 5J - 15 = 2 (2J - 3)

Divide
each side by 2 :    2.5 J - 7.5 = 2J - 3

Subtract 2J
from each side: 0.5 J - 7.5 =    -3

Add 7.5
to each side: 0.5 J = 4.5

Multiply
each side by 2 :    J    = 9

Jill is 9 y.o. now.
Will is 18 y.o. now.

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