Multiple Choice Questions on When the couple was married the average of their ages was 25 years When their first child was born t........... for Mathematics - All Exams Preparation

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    When the couple was married the average of their ages was 25 years. When their first child was born, the average age of family became 18 years. When their second child was born, the average age of the family became 15 years. Find the average age of the couple now.

    31

    Incorrect Answer

    27

    Incorrect Answer

    28

    Incorrect Answer

    29

    Correct Answer
    Explanation:

    Solution: 
    Sum of ages of couple = 25*2 = 50
    When 1st child born, total age of 3 = 18*3 = 54 years
    At this time the child’s age was 0, so age of father and mother would have increased by same. So increased by 2 years each. So 50 +2 + 2 = 54
    Now when 2nd child born, total age of 4 = 15*4 = 60
    So this time second child’s age = 0 and age of father, mother and first child would have increased by same. So increased by 2 each such that 54 + 2+2+2 = 60
    So now this time (after 4 years from age 50), total age of couple is 50+4+4 = 58
    So average = 29 years


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