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# NMAT 2008 Question-22

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Q.)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 yrs
(B) 6 yrs
(C) 8yrs
(D) 9 yrs

Solution :

Let the age of husband at the time of marrigae be X years and age of wife at the time of marrigae be Y years .

$\frac { X+Y }{ 2 }$= 25

=> X+Y = 50

let from marriage till today , n years have passed.

Then, $\frac { (X+n)+(Y+n)+(n-2) }{ 3 }$= 24

=> X+Y+3n-2 = 72

=> 50+3n-2 = 72

=> 3n = 72-50+2 = 24

=> n= 8 years

Hence , OPTION(C)