Ans : 23.74 Let the required no. be x. then a/q, x - 7 = 16.74 x = 16.74 + 7 = 23.74

Problem: Find the number that, when decreased by 7 of itself, equals 16.74.

Solution:

To find the number, let's denote it as "x". According to the problem, when we decrease this number by 7 of itself (which means subtracting 7x from x), the result is 16.74. Mathematically, we can represent this situation with the following equation:

x - 7x = 16.74

Now, let's solve this equation step-by-step to find the value of x.

Step 1: Combine like terms on the left side of the equation:
(1 - 7)x = 16.74

Step 2: Simplify the left side of the equation:
-6x = 16.74

Step 3: Divide both sides of the equation by -6 to isolate x:
x = 16.74 / -6

Step 4: Evaluate the division:
x ≈ -2.79

Therefore, the number that, when decreased by 7 of itself, equals 16.74 is approximately -2.79.

Explanation:

The problem asks us to find a number that, when decreased by 7 of itself, gives a result of 16.74. To solve this problem, we need to set up an equation that represents this situation and then solve for the unknown number.

We denote the unknown number as "x". When we decrease this number by 7 of itself, we subtract 7x from x, which can be represented as x - 7x. This expression should be equal to 16.74 according to the problem.

By simplifying the equation, we combine the like terms on the left side to get -6x = 16.74. To isolate x, we divide both sides of the equation by -6. This gives us x = 16.74 / -6.

Evaluating the division, we find that x is approximately equal to -2.79. Therefore, the number that satisfies the given conditions is approximately -2.79.

Summary:

The number that, when decreased by 7 of itself, equals 16.74 is approximately -2.79. We solved this problem by setting up an equation, combining like terms, isolating x, and evaluating the division.