QuestionOne-half of the difference between $a$ and $b$ equals 54.

Studdy Solution

STEP 1

Assumptions1. The difference of $a$ and $b$ is divided by. . The result of this division is54.

STEP 2

First, we need to set up the equation according to the problem statement. The problem statement can be translated into the following equation $\frac{a - b}{2} =54$

STEP 3

To solve for the difference of $a$ and $b$ , we need to isolate $a - b$ on one side of the equation. We can do this by multiplying both sides of the equation by2.
$2 \times \frac{a - b}{2} =2 \times54$

STEP 4

Perform the multiplication on both sides of the equation.
$a - b =108$ So, the difference of $a$ and $b$ is108.

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