Task calculation

The student has written such a straightforward task in the book:

Hanka by three more
Emka 2x more
Johanna?
total 51

Can you help him calculate this fine example?

Final Answer:

h =  15
j =  12
x =  24

Step-by-step explanation:


h= 3 + j
x = 2j
h + x + j = 51

h= 3 + j
x = 2·j
h + x + j = 51

h-j = 3
2j-x = 0
h+j+x = 51

Row 3 - Row 1 → Row 3
h-j = 3
2j-x = 0
2j+x = 48

Row 3 - Row 2 → Row 3
h-j = 3
2j-x = 0
2x = 48


x = 48/2 = 24
j = 0+x/2 = 0+24/2 = 12
h = 3+j = 3+12 = 15

h = 15
j = 12
x = 24

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