math question

<p>this is from the may 2008 test i have:</p>

<p>90n + 23p = 4523
if n and p are positive integers in the equation above, what is one possible value of n+p?</p>

<p>(this was a grid-in problem) the answers could be any of the following: 51, 118, or 185. this problem seems simple but for some reason i don't get it easily, and help greatly appreciated. thanks!</p>

<p>What you should realize is 4523 becomes 4500 after you subtract 23 from 4523. Therefore, you can use the value of 1 as p and then solve for n. so 90n + 23=4523; 90n=4500, n=50.
n+ p=1+50= 51. I can think of no better way.</p>