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Math

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PROBLEM

Find the value of OΔΔOΔO \Delta \Delta O \Delta given the equations: 00000=000000=0, 0000Δ=100000 \Delta=10, 000ΔO=20000 \Delta O=20, 000ΔΔ=30000 \Delta \Delta=30, 00ΔOΔ=5000 \Delta O \Delta=50, 00ΔΔO=6000 \Delta \Delta O=60.

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 =0

STEP 3

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

STEP 4

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

SOLUTION

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

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