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Right now, Simran's father is three times as old as Simran. Five years ago, he was four times as

old as Simran. How old is each person right now?

Verified Answer :

Answer:  The required age of Simran is 15 years and her father is 45 years.  

Step-by-step explanation:  Given that right now, Simran's father is three times as old as Simran and five years ago, he was four times as  old as Simran.

We are to find the present ages of Simran and her father.

Let x and y represents the present ages of Simran and her father respectively.

Then, according to the given information, we have

\(y=3x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y-5=4(x-4)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\)

Substituting the value of y from equation (i) in equation (ii), we get

\(y-5=4(x-5)\\\\\Rightarrow 3x-5=4x-20\\\\\Rightarrow 4x-3x=20-5\\\\\Rightarrow x=15.\)

From equation (i), we get

\(y=3\times15=45.\)

Thus, the required age of Simran is 15 years and her father is 45 years.  

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