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Today is Vanita's birthday. One year, from today she will be twice as old as she was 15 years ago. How old is Vanita today ?a.25 yearsb.23 yearsc.27 yearsd.31 years

Question

Today is Vanita's birthday. One year, from today she will be twice as old as she was 15 years ago. How old is Vanita today ?a.25 yearsb.23 yearsc.27 yearsd.31 years

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Solution

Let's denote Vanita's current age as X.

According to the problem, one year from today (which means X + 1 years old), Vanita will be twice as old as she was 15 years ago (which means 2 * (X - 15) years old).

So, we can set up the equation as follows:

X + 1 = 2 * (X - 15)

Solving this equation will give us Vanita's current age.

First, distribute the 2 on the right side of the equation:

X + 1 = 2X - 30

Then, subtract X from both sides to get:

1 = X - 30

Finally, add 30 to both sides to solve for X:

X = 31

So, Vanita is 31 years old today, which corresponds to option d.

This problem has been solved

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