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Q.

A mother is three times as old as her son. After 15 years she will be twice as old as her son. The present age of the mother is ____years.


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Detailed Solution

Concept- The present age of the mother is 45 years.
The mother's age is currently three times that of the boy. We must build simple equations using the information provided. After resolving those equations, we can obtain the solutions.
Let the son's age now be Question Image years.
Then, Mother's age now Question Image years .
After 15 years, son's age Question Image years
Mother's age Question Image years
Given, Question ImageQuestion ImageQuestion ImageQuestion Image Son's age now Question Image yrs. and Mother's age now Question Image yrs.
Hence, the correct answer is 45 years.
 
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A mother is three times as old as her son. After 15 years she will be twice as old as her son. The present age of the mother is ____years.