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74 years father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is

Solution

74 years father is now three times as old as his son. Five years back, he was four times as old as his son. The age of the son (in years) is

Solution

Father^{'} s age is : \frac{45}{293}

Boy^{'} s age is : 3 \frac{231}{293}

Solution steps

Translate the problem into an equation:

x - 5 = 4 (\frac{74 x}{3} - 5)

Solve for

x, x - 5 = 4 (\frac{74 x}{3} - 5) : x = \frac{45}{293}

Find age

Father^{'} s age is : \frac{45}{293}

Boy^{'} s age is : 3 \frac{231}{293}

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