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22 vote

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.

Asked on by | Votes 22 | Views: 99 | Tags: ssc cgl tier1 1st september 2016 shift 2     | ssc cgl tier 1     | ssc cgl     | problem on age     | reasoning     | Add Bounty

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


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2 answers

17 vote
Answered by on | Votes 17 | | Last Updated: 2021-08-07 12:02:52

Correct answer is: 7 years

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23 vote
Answered by on | Votes 23 | | Last Updated: 2021-08-07 12:02:35

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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