Question 985149
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The average age of Alice and tom is 14 years 3 months. 
Alice is 2 years 8 months younger than tom. 
How old is Alice ?
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        As I read the solution in the post by @lwsshak3, 

        I nearly died of horror — so many crude errors/mistakes are there.


        For correct solution, see what follows in my post.



<pre>
Let x be the Alice age in months,
and let y be the Tom age in months.


14 years and 3 months is 14*12+3 = 171 months.

Therefore, the first statement means that the sum x and y is 2*171 = 342 months.

So, our first equation is 

    y + x = 342  months.    (1)



2 years and 8 months is 2*12+8 = 32 months.

Therefore, the second statement means that the difference y - x is 32 months.

So, our second equation is 

    y - x = 32  months.     (2)


From equations (1) and (2), 

    - the greatest age (which is the Tom age) is half of the sum 342 and 32, i.e.  {{{(342+32)/2}}} = 187 months,

    - while the smallest age (which is the Alice age) is half of the difference of numbers 342 and 32, i.e. {{{(342-32)/2}}} = 155 months.



<U>ANSWER</U>.  Alice is 155 months old.
</pre>

Solved correctly for your secure teaching/learning.


Ignore the post by @lwsshar3, since it is full of errors.