QuestionFind the secret value, $k$ , of a 4-digit pin code $abcd$ : $k = \frac{c - 3b}{\frac{1}{2}(a + d)}$ . What is $k$ ?

Studdy Solution

STEP 1

Assumptions1. The pin code is a4-digit number represented as abcd. The secret value k is obtained by a mathematical operation on the digits a, b, c, and d3. The mathematical operation is subtracting the triple of b from c, and dividing the resulting expression by half of the sum of a and d

STEP 2

First, let's write down the operation that gives us the secret value k. According to the problem, we subtract the triple of b from c, and divide the result by half of the sum of a and d.
$k = \frac{c -b}{\frac{a + d}{2}}$

STEP 3

In order to simplify the expression, we can multiply the numerator and the denominator by2. This will eliminate the fraction in the denominator.
$k = \frac{2(c -3b)}{a + d}$

STEP 4

We can distribute the2 in the numerator to get the final expression for k.
$k = \frac{2c -6b}{a + d}$ So, the secret value k in terms of a, b, c, and d is $k = \frac{2c -6b}{a + d}$

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