John and Thomas

John and Thomas received 105 CZK from their grandmother together. John received one third more than Thomas. How many CZK did Thomas receive less than John?

Final Answer:

x =  15 Kc

Step-by-step explanation:

$$\begin{gathered} j+t=105 \\ j=t+t/3 \\ j+t=105 \\ 3j-4t=0 \\ Pivot:Row1\leftrightarrow Row2 \\ Row2-\frac{1}{3}\cdot Row1\to Row2 \\ 2.33t=105 \\ t=\frac{105}{2.33333333}=45 \\ j=\frac{0+4t}{3}=\frac{0+4\cdot 45}{3}=60 \\ j=60 \\ t=45 \\ x=j-t=60-45=15\text{Kc} \end{gathered}$$

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