Question

Two travelers found a purse containing money. The first said to the second, "By securing half of the money in this purse, I shall become twice as rich as you." The second said to the first, "By securing two-thirds of the money in the purse, I shall, with the money I have on hand, have three times as much money as what you have on hand." How much did each have and how much was in the purse? (Note that this problem has multiple solutions. Find the smallest possible whole number solution.)

Answer 1

$ % punes Let menay in $ pesan Monuy with I berson 2 IL Money with condituon fiet Accordiy to 2. Z Accorday to secnd Condstion 3y 2 O0 Z t Rearrangiry $E 2 Z O 34 + Z - O Jo

Elmination Gaussian -2 -3 Rid RIE) -4 2 -3 [SE - 4 2 4 2 (yy -30/13 R R,-2R 30 Z T3 O 13

30 2 13 11 13 The smallest possids whola numbu soluta When z= 13 C13) 30 30 11 13 (13) 11 13 furre $30 Monay 11 penor =11 Mondy with I $ L3 Money with L peson