Lord Ram

When lord Ram was founded, the breed of white sheep was eight more than black. White sheep are four times higher than at the beginning, and black three times more than at the beginning. White sheep is now 42 more than the black. How many white and black sheep together has Mr. Beran now?

Correct answer:

x =  102

Step-by-step explanation:


x = b+c
b = 42+c
b = 4a
c = 3(a-8)


x = b+c
b = 42+c
b = 4·a
c = 3·(a-8)

b+c-x = 0
b-c = 42
4a-b = 0
3a-c = 24

Pivot: Row 1 ↔ Row 3
4a-b = 0
b-c = 42
b+c-x = 0
3a-c = 24

Row 4 - 3/4 · Row 1 → Row 4
4a-b = 0
b-c = 42
b+c-x = 0
0.75b-c = 24

Row 3 - Row 2 → Row 3
4a-b = 0
b-c = 42
2c-x = -42
0.75b-c = 24

Row 4 - 0.75 · Row 2 → Row 4
4a-b = 0
b-c = 42
2c-x = -42
-0.25c = -7.5

Row 4 - -0.25/2 · Row 3 → Row 4
4a-b = 0
b-c = 42
2c-x = -42
-0.125x = -12.75


x = -12.75/-0.125 = 102
c = -42+x/2 = -42+102/2 = 30
b = 42+c = 42+30 = 72
a = 0+b/4 = 0+72/4 = 18

a = 18
b = 72
c = 30
x = 102

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