Soldiers 31501

The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day?

Correct answer:

a =  10
b =  20
c =  60

Step-by-step explanation:


a+b+c=90
b = 2a
c = 3b

a+b+c=90
b = 2·a
c = 3·b

a+b+c = 90
2a-b = 0
3b-c = 0

Pivot: Row 1 ↔ Row 2
2a-b = 0
a+b+c = 90
3b-c = 0

Row 2 - 1/2 · Row 1 → Row 2
2a-b = 0
1.5b+c = 90
3b-c = 0

Pivot: Row 2 ↔ Row 3
2a-b = 0
3b-c = 0
1.5b+c = 90

Row 3 - 1.5/3 · Row 2 → Row 3
2a-b = 0
3b-c = 0
1.5c = 90


c = 90/1.5 = 60
b = 0+c/3 = 0+60/3 = 20
a = 0+b/2 = 0+20/2 = 10

a = 10
b = 20
c = 60

Our linear equations calculator calculates it.



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