Let 'n' represent the number, then '25n' represents "the product of 25 and a number".  Somewhat ambiguous in the statement but we assume that 38 is subtracted from 25n and the result would be 312.  We also assume that the statement is asking us to solve for 'n'. 

312=25n-38

click here to solve for n

n=14

The number is 14.