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5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?5
Q: 5 years ago, the mother's age was 3 times of her son's age. 5 years hence, the ratio between the ages of mother and the son becomes 11:5. Find the mother's present age?
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Answer :
Explanation :
Let the present age's of mother be 'M' and that of her son be 'S'. According to the given data in the question, M - 5 = 3(S - 5) F - 3S = -10 ...............(1) Then given , M + 5 : S + 5 = 11 : 5 => 5M - 11S = 30 ..............(2) From (1) & (2), we get S = 20 Then by substituting S = 20 in (1) or (2), we get M = 50. Hence, the present age of mother is M = 50 years.