Question 985149: 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 ?
Found 3 solutions by lwsshak3, MathTherapy, ikleyn:
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! The average age of Alice and tom is 14 years 3 months. Alice is 2 years 8 months younger than
let x=tom's age
2yrs 8 mo=48+8=56
Alice'sage x-56
14 years 3 months=171
x+(x-56)/2=171
x=2*171+56/2=199
Alice'sage x-56=199-56=143
Answer by MathTherapy(10839)  (Show Source):
You can put this solution on YOUR website!
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 ?
Al1ce's age: 
Answer by ikleyn(53879)  (Show Source):
You can put this solution on YOUR website! .
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.
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.  = 187 months,
- while the smallest age (which is the Alice age) is half of the difference of numbers 342 and 32, i.e.  = 155 months.
ANSWER. Alice is 155 months old.
Solved correctly for your secure teaching/learning.
Ignore the post by @lwsshar3, since it is full of errors.
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