Number summand division

We divide the number 210 into two summands so that one summand is 30 less than three times the other. Determine the larger of the summands.

Final Answer:

a =  150

Step-by-step explanation:

$$\begin{gathered} 210=a+b \\ a=3\cdot b-30 \\ a+b=210 \\ a-3b=-30 \\ Row2-Row1\to Row2 \\ -4b=-240 \\ b=\frac{-240}{-4}=60 \\ a=210-b=210-60=150 \\ a=150 \\ b=60 \end{gathered}$$

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