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Solution for Set 2 question 1:

 

Let m be the mother's age and Alvin's age be a.

 

As the mother is 42 - 14 = 28 years older than Alvin, = a + 28.

 

At the moment m = 2a, hence  2a = a + 28, and so a = 28.

 

That is, Alvin is now 28 years old.

 

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