Question

A wizard having powers of mystic in candations and magical medicines seeing a hen, fight going on, spoke privately to both the owners of hend. To one he said; if your bird wins, than you give me your stake-money, but if you do not win, I shall give you two third of that'. Going to the other, he promised in the same way to give three fourths. From both of them his gain would be only 12 gold coins. Find the the stake of money each of the hen-owners have.

Answer 1

SOLUTION :  

Let the stake money of first hen-owner be ₹ x and of second hen-owner be ₹y.

A.T.Q

Case : 1

x− 3y/4 = 12

(4x − 3y) /4= 12

(4x − 3y) = 12× 4

4x – 3y = 48 …………….(1)

Case :2

y−2x/3 = 12

(3y − 2x)/3 =12

3y − 2x = 12× 3

3y – 2x = 36  

-2x +3y = 36…………..(2)

On adding eq 1 & 2,

4x – 3y = 48

-2x +3y = 36

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2x =  84

x = 84/2  

x = 42

Putting x = 42 in eq (2) we get,

-2x +3y = 36

-2× 42 + 3y = 36

-84+3y = 36

3y = 36 +84

3y = 120

y = 120/3

y = 40

Hence the stake of money of first hen-owner is ₹ 42 and of second hen-owner is ₹ 40.

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Answer 2

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