Jane is 10 years younger than John. Twelve years ago, John was twice as old Jane. How old iseach now?
Question
Jane is 10 years younger than John. Twelve years ago, John was twice as old Jane. How old iseach now?
Solution
Let's denote John's current age as J and Jane's current age as j.
From the problem, we know two things:
- Jane is 10 years younger than John. This can be written as: j = J - 10
- Twelve years ago, John was twice as old as Jane. This can be written as: J - 12 = 2 * (j - 12)
Now we can solve these equations step by step.
First, substitute the first equation (j = J - 10) into the second equation:
J - 12 = 2 * ((J - 10) - 12)
Simplify the equation:
J - 12 = 2 * (J - 22)
Distribute the 2:
J - 12 = 2J - 44
Add 44 to both sides:
J + 32 = 2J
Subtract J from both sides:
32 = J
So, John is
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