Double the number of apples

Adam and Bonifác were picking apples. Together they picked 77 kg of apples. How much did each of them collect when Adam collected 5 kg more than twice what Bonifác collected?

Correct answer:

a =  53 kg
b =  24 kg

Step-by-step explanation:

$$\begin{gathered} a+b=77\text{kg} \\ a=5kg+2b \\ (5+2b)+b=77 \\ (5+2\cdot b)+b=77 \\ 3b=72 \\ b=\frac{72}{3}=24 \\ b=24 \\ a=5+2\cdot b=5+2\cdot 24=53\text{kg} \end{gathered}$$

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