Final answer:
The equation formed from the given sentence is (1/3)(x + 11) = 13, which translates into a number problem where the unknown variable, x, is isolated to find that x = 28.
Step-by-step explanation:
The equation for the sentence 'The sum of a number and eleven, multiplied by one-third is thirteen' can be represented algebraically. To construct this equation, let us denote the unknown number as x. According to the sentence, we first add eleven to this number, giving us the expression x + 11. Then, we multiply the sum by one-third, yielding the expression (1/3)(x + 11). Finally, it is stated that this expression equals thirteen, so we can write the equation as (1/3)(x + 11) = 13.
To solve this equation, we must isolate the variable x.
- Multiply both sides by 3 to get rid of the fraction: 3*(1/3)(x + 11) = 3*13, which simplifies to x + 11 = 39.
- Subtract 11 from both sides to find the value of x: x = 39 - 11, which gives us x = 28.
Hence, the number we are looking for is 28.