有3個(gè)質(zhì)數(shù),這3個(gè)質(zhì)數(shù)的和與這3個(gè)質(zhì)數(shù)乘積的和等于99,問(wèn)著3個(gè)質(zhì)數(shù)是多少

數(shù)學(xué)人氣：856 ℃時(shí)間：2019-08-18 12:06:44

優(yōu)質(zhì)解答

2,2,19
3個(gè)質(zhì)數(shù)如果其中沒(méi)有2,則3個(gè)質(zhì)數(shù)的和是奇數(shù),這3個(gè)質(zhì)數(shù)的積是奇數(shù),和與積的和等于偶數(shù),與99不符；3個(gè)質(zhì)數(shù)如果其中有1個(gè)2,則3個(gè)質(zhì)數(shù)的和是偶數(shù),這3個(gè)質(zhì)數(shù)的積是偶數(shù),和與積的和等于偶數(shù),與99不符；
3個(gè)質(zhì)數(shù)如果其中有2個(gè)2,設(shè)另一個(gè)質(zhì)數(shù)是x,2+2+x+2*2*x=99,解得x=19,符合題意