Solution:Concept: The number would be 75. Here, we need to identify the number that, when lowered by 10, equals 65. We'll assume that the number is x. Applying the provided operations will result in an equation expressed in terms of x. The required number will then be discovered by solving the equation to get the value of x.
Let x be the number.
To create an equation in terms of x, we must perform the specified operations on the integer x and equate the result to 65.
We'll start by taking 10 off the total.
The phrase x10 is obtained by deducting 10 from x.
It is now assumed that 65 is 10 less than the number.
Accordingly, 10 less than x should equal 65.
The result is the equation x-10=65.
To determine the value of x and hence determine the number, we must solve this equation.
The result of adding 10 to both sides of the equation is x-10+10=65+10
Thus, we determine that x is equal to 75.
Hence, the answer is 75.