age of father is 4 times the age of his son . after 6 years ages of father and son will be in the ratio 5:2. what is the present age of the Son?
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Let the age of son be x
Therefore, the age of father is 4x
After 6 years,
Son's age = x+6
Father's age = 4x+6
Let the ratio be 5x:2x
Therefore, 5x:2x = x+6:4x+6
Or, 5x+2x = x+6+4x+6
Or, 7x = 5x+12
Or, 7x-5x = 12
Or, 2x = 12
Or, x = 12/2 = 6
Therefore, son's age = x = 6
And, father's age = 4x = 4×6 = 24.(answer).
The present age of the son and his father is 6 years and 24 years respectively.
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