Final answer:
The number we are looking for is 900, since 17% of 900 is exactly 27 more than 14% of 900.
Step-by-step explanation:
We are tasked to find a number such that 17% of it is 27 more than 14% of it. Let's denote this unknown number as x. The problem can be approached by setting up an equation where we translate percentages into decimals and thus we have:
0.17x = 0.14x + 27
To find x, we subtract 0.14x from both sides to leave the terms with x on one side, resulting in:
0.03x = 27
Next, we divide both sides by 0.03 to solve for x:
x = 27 / 0.03
After division, we find that:
x = 900
Therefore, the number we are looking for is 900, given that 17% of 900 is 153 and 14% of 900 is 126, and indeed, 153 is 27 more than 126.