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Three years back, a father was 24 years older than his son. At present the father is 5 times as old as the son. Write an equation to represent this situation.3x + 24 = 5x + 1524x + 3 = 5xx + 27 = 5(x - 3)x + 24 + 3 = 5(x + 3)

1 Answer

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Step-by-step explanation

Let the current age of the son be x. Then 3 years ago, the father was 24 years older than his son.

Therefore 3 years ago, father's and sons age was


\begin{gathered} father^(\prime)s\text{ age=x+24-3} \\ son^(\prime)s\text{ age = x-3} \end{gathered}

Now the father is 5 times older that the son. ie


\begin{gathered} fathers\text{ current age =5x} \\ sons\text{ age = x} \end{gathered}

Based on theis,

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