Question and Answers Forum

All Questions      Topic List

None Questions

Previous in All Question      Next in All Question      

Previous in None      Next in None      

Question Number 126079 by amns last updated on 17/Dec/20

If the product of three consecutive prime numbers is 7 times  their sum, what is the prime number three?        [Ans. will be commented by me after someone tried to ans. it]

$$\boldsymbol{\mathrm{If}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{product}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{three}}\:\boldsymbol{\mathrm{consecutive}}\:\boldsymbol{\mathrm{prime}}\:\boldsymbol{\mathrm{numbers}}\:\boldsymbol{\mathrm{is}}\:\mathrm{7}\:\boldsymbol{\mathrm{times}} \\ $$$$\boldsymbol{\mathrm{their}}\:\boldsymbol{\mathrm{sum}},\:\boldsymbol{\mathrm{what}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{prime}}\:\boldsymbol{\mathrm{number}}\:\boldsymbol{\mathrm{three}}? \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$\left[{Ans}.\:{will}\:{be}\:{commented}\:{by}\:{me}\:{after}\:{someone}\:{tried}\:{to}\:{ans}.\:{it}\right] \\ $$

Commented by som(math1967) last updated on 17/Dec/20

If product of 3consecutive  prime number is 7times their  sum then one prime number  must be 7.  ∴3+5+7=15  ∴3,5,7

$${If}\:{product}\:{of}\:\mathrm{3}{consecutive} \\ $$$${prime}\:{number}\:{is}\:\mathrm{7}{times}\:{their} \\ $$$${sum}\:{then}\:{one}\:{prime}\:{number} \\ $$$${must}\:{be}\:\mathrm{7}. \\ $$$$\therefore\mathrm{3}+\mathrm{5}+\mathrm{7}=\mathrm{15} \\ $$$$\therefore\mathrm{3},\mathrm{5},\mathrm{7} \\ $$

Commented by amns last updated on 17/Dec/20

som(math 1967) is right

$$\mathrm{som}\left(\mathrm{math}\:\mathrm{1967}\right)\:\boldsymbol{{is}}\:\boldsymbol{{right}} \\ $$

Answered by amns last updated on 17/Dec/20

Ans. is 3, 5, 7

$$\boldsymbol{{Ans}}.\:\boldsymbol{{is}}\:\mathrm{3},\:\mathrm{5},\:\mathrm{7} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com