Determine 65384

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.

Correct answer:

a =  150

Step-by-step explanation:

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

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