Find the total number of goats in the herd [closed]

Two brothers were herding few goats together in the woods, at a tree the herd breaks into two parts and each brother tends to one group.

Older brother says, "Give me one goat, I will have twice as you." Younger brother retorts, "You give me one and we will be equal."

So what is the total herd size combined together among them.

closed as off-topic by Rubio♦Mar 13 at 16:44

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The total herd size is

$$12$$ goats

Let $$X$$ be the number of goats the older brother has, $$Y$$ be the number the younger brother has.

"Give me one goat, I will have twice as you."

$$X+1 = 2(Y-1)$$

"You give me one and we will be equal."

$$X-1 = Y+1$$

Solving we get

$$X=7, Y=5$$ and $$X+Y=12$$

• This is just a math story problem, as the solution clearly shows. – Rubio Mar 13 at 16:45