**Quote:**

To evaluate statement (2) you are using the information provided in statement (1)

We do NOT use the first statement to evaluate the second one, though statement (2) implies that statement (1) holds true (as we reason that in the solution).

**Quote:**

otherwise you wouldn't get that *m* must be > 125

The two facts from the base statement (

*m* +

*n* = 250 and

*m* >

*n*) imply that

*m* > 125. We do NOT use any other statement for that.

*m* >

*n* Let's add

*m* to the both sides:

*m* +

*m* >

*m* +

*n* Let's plug in

*m* +

*n* = 250:

*m* +

*m* > 250

2

*m* > 250 Then divide the both sides by 2:

*m* > 125.

You may once again go over the proof for the second statement alone to see that we do NOT use the first statement initially, but reason the same inequality along the way based on the question statement + statement (2) ONLY.

Using JUST statement (2) and the original information we have the following facts:

1.

*m*,

*n*,

*r*, and

*s* are integers.

2.

*m* +

*n* = 250

3.

*m* >

*n*4.

*m* +

*r* +

*s* = 375

Combining the facts # 3 and #2 we get

*m* +

*n* <

*m* +

*m*250 < 2

*m*125 <

*m*Then we can plug in the formula for

*m* from the fact #4:

125 < 375 – (

*r* +

*s*)

*r* +

*s* < 250

Then we plug in the formula for 250 from the fact #2:

*r* +

*s* <

*m* +

*n**s* – *n* < *m* – *r*Therefore the second statement by ITSELF is sufficient to answer the question.