Count The Chocolates
Jack has chocolates and Jill has chocolates.
If Jack gives 1 chocolate to Jill, then they will have an equal number of chocolates.
If Jill gives 1 chocolate to Jack, then Jack will have twice as many chocolates as Jill.
How many chocolates does Jill have?
The answer is 5.
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1 solution
We're told that if Jack gives one chocolate to Jill, they'll have an equal number of chocolates. Therefore, y − 1 = x + 1 ⟶ y = x + 2 .
Then we're told if Jill gives one chocolate to Jack, then Jack will have twice as many chocolates. Therefore, y + 1 = 2 ( x − 1 ) ⟶ y = 2 x − 3 .
Setting the right hand side of these two equations equal to each other gives us x + 2 = 2 x − 3 ⟶ x = 5