Balls Count Three Boys

Philip had two more balls than Jarda, and Milos had twice as many as Philip. They had a total of 33 balls. How much did everyone have?

Final Answer:

f =  14
j =  12
m =  7

Step-by-step explanation:


f=2+j
m = f/2
f+j+m = 33

f-j = 2
f-2m = 0
f+j+m = 33

Row 2 - Row 1 → Row 2
f-j = 2
j-2m = -2
f+j+m = 33

Row 3 - Row 1 → Row 3
f-j = 2
j-2m = -2
2j+m = 31

Pivot: Row 2 ↔ Row 3
f-j = 2
2j+m = 31
j-2m = -2

Row 3 - 1/2 · Row 2 → Row 3
f-j = 2
2j+m = 31
-2.5m = -17.5


m = -17.5/-2.5 = 7
j = 31-m/2 = 31-7/2 = 12
f = 2+j = 2+12 = 14

f = 14
j = 12
m = 7

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