Sheriff 4462

The cowboy will give the sheriff two bags of oats, and the sheriff will have 2x more bags than the cowboy. If the sheriff gives two bags of oats to the cowboy, they will both have the same. How many bags does each have?

Correct answer:

a =  10
b =  14

Step-by-step explanation:


2(a - 2) = b + 2
a + 2 = b - 2

2·(a - 2) = b + 2
a + 2 = b - 2

2a-b = 6
a-b = -4

Row 2 - 1/2 · Row 1 → Row 2
2a-b = 6
-0.5b = -7


b = -7/-0.5 = 14
a = 6+b/2 = 6+14/2 = 10

a = 10
b = 14

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