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15 vote

A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years. Then what is the present age of the wife?

Asked on by | Votes 15 | Views: 106 | Tags: ssc cgl tier1 29th september 2016 shift 1     | ssc cgl tier 1     | ssc cgl     | problem on age     | reasoning     | Add Bounty

A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years. Then what is the present age of the wife?
1). 60 years
2). 51 years
3). 48 years
4). 45 years


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2 answers

40 vote
Answered by on | Votes 40 |
I think option 4 is the right answer

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39 vote
Answered by on | Votes 39 | | Last Updated: 2021-08-05 14:57:41

Solution; 

Let the man's age be 'x' his wife's age be 'y' and his son's age be 'z'.

It is given that the man is 3 years older than his wife and four times as old as his son so,

$x = y + 3 -------> 1$

$x = 4z -----------> 2 $

It is also given that the man's son become 15 years old after 3 years so,

$z + 3 = 15$

So, $z = 15 - 3 = 12$

Substituting the value of z in equation 2 we get 

$x = 4 × 12$

$x = 48$

Substituting the value of x in equation 1 we get 

$48 = y + 3$

$y = 48 - 3$

$y = 45$

So, the present age of the man's wife is 45 years.

The correct option is 4). 45 years

 

Accepted Answer




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