The age of the father 4 years ago was 8 times the age of his son. At present, the father's age is 4 times that of his son. Find the present age of son.
1). 9 years
2). 7 years
3). 14 years
4). 18 years
Correct answer is: 7 years
Solution :
Let us take the present age of father and his son as 'x' and 'y' .
Given:
The father's age before 4 years is 8 times the age of his son
x - 4 = 8( y - 4)------> 1
At present, father's age is 4 times the age of his son
x = 4y ------> 2
Substituting equation 2 in 1 we get
4y - 4 = 8y - 32
8y - 4y = 32 - 4
4y = 28
y = 28/4
y = 7
Substituting the value of y in equation 2 we get
x = 4 × 7
x = 28
The present age of son is 7 years.
The correct option is 2). 7 years
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