Use the method of double false position to solve the followi

Use the method of double false position to solve the following problem, presented in modified form from the Nine Chapters (pp. 358-361 of our translation).

Now gold is purchased jointly; if everyone contributes 300, the excess is 1300; if everyone contributes 250, the deficit is 600. Tell: the number of people, the gold price, what is each?

I know it\'s using cross multiplication but the numbers I get are way too high

Solution

let x be the number of people ,

& y be gold price

300 x = y + 1300 ... (1)

250 x = y - 600 .... (2)

solving these equation we get x = 38 ,

y = 10100

hence

let 38 is the number of people , & 10100 be gold price