The ratio of four less than a number to twenty six more than the number is 1:3 . what is the number?
Let's assume the number is "x".
According to the given information, the ratio of four less than the number to twenty-six more than the number is 1:3.
Translating this into an equation, we have:
(x - 4) / (x + 26) = 1/3
To solve for x, we can cross-multiply:
3(x - 4) = (x + 26)
Expanding the equation:
3x - 12 = x + 26
Subtracting "x" from both sides:
2x - 12 = 26
Adding 12 to both sides:
2x = 38
Dividing both sides by 2:
x = 19
Therefore, the number is 19.
To find the number, let's set up the equation based on the given information.
Let's assume the number is represented by "x."
The ratio of four less than the number (x - 4) to twenty-six more than the number (x + 26) is given as 1:3.
In mathematical terms, this can be written as:
(x - 4) / (x + 26) = 1 / 3
To solve this equation, we can cross-multiply:
3(x - 4) = 1(x + 26)
Simplifying further:
3x - 12 = x + 26
Next, we can isolate the variable by subtracting x from both sides of the equation:
3x - x - 12 = 26
Now, combine like terms:
2x - 12 = 26
To further isolate the variable, we can add 12 to both sides:
2x - 12 + 12 = 26 + 12
Simplifying further:
2x = 38
Finally, divide both sides by 2 to solve for x:
2x / 2 = 38 / 2
x = 19
Therefore, the number is 19.
say the number is x
(x - 4) / (x + 26) = 1/3
now go for it - solve for x . . .