QuestionFind the value of $O \Delta \Delta O \Delta$ given the equations: $00000=0$ , $0000 \Delta=10$ , $000 \Delta O=20$ , $000 \Delta \Delta=30$ , $00 \Delta O \Delta=50$ , $00 \Delta \Delta O=60$ .

Studdy Solution

STEP 1

Assumptions1. The symbols O and Δ represent different digits in the number system. . The same symbol represents the same digit and different symbols represent different digits.
3. The given equations are in base10.

STEP 2

From the first equation, we can see that the symbol O represents the digit0. $=0$

STEP 3

From the second equation, we can see that the symbol Δ represents the digit1.
$\Delta =1$

STEP 4

Now, we can substitute the symbols O and Δ with their corresponding digits in the last equation.
$\Delta \Delta O \Delta =01101$

STEP 5

So, the number represented by $\Delta \Delta O \Delta$ is01101.

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