the couple got married?

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the couple got married?

by sanju09 » Wed Jan 27, 2010 11:50 pm
The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
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by ajith » Wed Jan 27, 2010 11:57 pm
sanju09 wrote:The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Say it is n years since the couple got married

The sum of ages when the couple got married = 25*2 = 50

The sum of ages of the couple and the kid now = 24*3 = 72 = 50+ 2*n + n-2
=> 3n = 24; n =8
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by sanju09 » Thu Jan 28, 2010 12:07 am
ajith wrote:
sanju09 wrote:The average age of a husband and wife at the time of their marriages was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?
(A) 5
(B) 6
(C) 7
(D) 8
(E) 9
Say it is n years since the couple got married

The sum of ages when the couple got married = 25*2 = 50

The sum of ages of the couple and the kid now = 24*3 = 72 = 50+ 2*n + n-2
=> 3n = 24; n =8
superb
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by ace_gre » Thu Jan 28, 2010 12:10 am
I arrived at the same answer ==>8.

h+w = 25*2 = 50
when son was born after 2 yrs, h+w = 54

now h + w +s = 24*3=72

72-54 = 18 = years of h , w and s *3==>6 yrs. so total is 6+2==>8.

Ajith has done it well algebraically :)

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by sanju09 » Thu Jan 28, 2010 12:14 am
ace_gre wrote:I arrived at the same answer ==>8.

h+w = 25*2 = 50
when son was born after 2 yrs, h+w = 54

now h + w +s = 24*3=72

72-54 = 18 = years of h , w and s *3==>6 yrs. so total is 6+2==>8.

Ajith has done it well algebraically :)
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