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Rojina said to Sujina, "I was twice as old as you were when I was as old as you are." If the sum of their present age is 35 years, find their present age.​

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Answer:

Let's start by assigning variables to their present ages. Let R be Rojina's current age and let S be Sujina's current age.From the given statement, we can write an equation:R - x = 2(S - x)where x is the number of years ago when Rojina was as old as Sujina is now.Simplifying the equation, we get:R - 2S = -xNow, we can write a second equation using the fact that the sum of their present ages is 35:R + S = 35We have two equations and two variables, so we can solve for R and S.First, we can rearrange the second equation to get:R = 35 - SSubstituting this into the first equation, we get:35 - S - 2S = -xSimplifying, we get:3S = x - 35We don't know the value of x, but we do know that Rojina's age minus twice Sujina's age equals x. This means that x must be a multiple of 3, since the difference between two multiples of 3 is also a multiple of 3.Let's try some values of x to see if they work:If x = 3, then 3S = -32, which is not possible since S cannot be negative.If x = 6, then 3S = -29, which is also not possible.If x = 9, then 3S = -26, which is still not possible.If x = 12, then 3S = -23, which is not possible.If x = 15, then 3S = -20, which is also not possible.If x = 18, then 3S = -17, which is still not possible.If x = 21, then 3S = -14, which is not possible.If x = 24, then 3S = -11, which is not possible.If x = 27, then 3S = -8, which is not possible.If x = 30, then 3S = -5, which is not possible.If x = 33, then 3S = -2, which is not possible.If x = 36, then 3S = 1, which means S = 1/3. This is also not possible since S must be a whole number.Since none of these values of x work, there must be a mistake in the problem statement. It's possible that Rojina misspoke or there was a miscommunication. Without more information, we cannot find their current ages.

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