Final answer:
The expression for '6 plus the difference of 19 and a number is 64' is written as 6 + (19 - x) = 64. By solving this equation, we find that the unknown number 'x' is -39.
Step-by-step explanation:
Expressing the Math Problem
To create an expression for the statement '6 plus the difference of 19 and a number is 64,' we start by identifying the terms used. The 'difference of 19 and a number' suggests subtraction, where 19 is being subtracted by an unknown number, which we can call 'x'. The word 'plus' indicates that we are adding this difference to 6.
The expression can be written as:
6 + (19 - x) = 64
To find the value of 'x', we follow these steps:
Subtract 6 from both sides of the equation: 19 - x = 58.
Subtract 19 from both sides to isolate the variable: x = -39.
Thus, the number that when subtracted from 19 and then added to 6 yields 64, is -39.