Mary Is 24 Years Old And Twice As Old As Ana (Solution)

Answer To The Age Problem “Mary Is 24 Years Old”

AGE PROBLEM – The question goes Mary is 24 years old. Mary is twice as old as Ana was when Mary was as old as Ana is now. how old is Ana?

This problem sounds a bit confusing because of the way it’s worded out. However, the solution is quite simple once you get the gist of things. Here is the step-by-step solution to the problem.

Mary Is 24 Years Old And Twice As Old As Ana (Solution)

First, let us assign variables for Mary’s age, Ana’s age, and the number of Years. With that, we could assign:

Let M = Mary’s Age
Let A = Ana’s Age
Let Y = number of years

Next, we need to create an equation. We know that Mary is 24, so therefore, “M = 24“. this would be our first equation.

Second Equation, we know that Mary (M) would be twice as old as Ana when Mary was as old as Ana is now. (M – Y = A)

Third Equation, the problem also says that Mary is twice as old as Ana (M = 2(A-Y)). Now we just need to solve for the equations.

M-Y = A
24 – Y = A
Next, we plug this in Equation 3

M=2(A=Y)
24 = 2((24-Y)-Y)
24 =48 – 4Y

4Y = 24
Y = 6

Now, we could use the answer to solve for Ana’s age:
M-Y=A —> 24 – 6 = 18. Therefore, Ana’s age is 18.

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