Together 4273

Jan is five years older than Pavel. Jan's age is 7/6 Dusan's age. All the brothers are 195 years old together. How old is Jan?

Correct answer:

j =  70

Step-by-step explanation:


j=5+p
j=7/6·d
j+p+d=195

j-p = 5
7d-6j = 0
d+j+p = 195

Pivot: Row 1 ↔ Row 2
7d-6j = 0
j-p = 5
d+j+p = 195

Row 3 - 1/7 · Row 1 → Row 3
7d-6j = 0
j-p = 5
1.857j+p = 195

Pivot: Row 2 ↔ Row 3
7d-6j = 0
1.857j+p = 195
j-p = 5

Row 3 - 1/1.85714286 · Row 2 → Row 3
7d-6j = 0
1.857j+p = 195
-1.538p = -100


p = -100/-1.53846154 = 65
j = 195-p/1.85714286 = 195-65/1.85714286 = 70
d = 0+6j/7 = 0+6 · 70/7 = 60

d = 60
j = 70
p = 65

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