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Question Number 190544 by cortano12 last updated on 05/Apr/23

Given p,q,r,s sre distinc prime numbers   such that pq−rs divisible by 30.   minimum value of p+q+r+s =?

$$\mathrm{Given}\:\mathrm{p},\mathrm{q},\mathrm{r},\mathrm{s}\:\mathrm{sre}\:\mathrm{distinc}\:\mathrm{prime}\:\mathrm{numbers} \\ $$$$\:\mathrm{such}\:\mathrm{that}\:\mathrm{pq}−\mathrm{rs}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{30}. \\ $$$$\:\mathrm{minimum}\:\mathrm{value}\:\mathrm{of}\:\mathrm{p}+\mathrm{q}+\mathrm{r}+\mathrm{s}\:=? \\ $$

Commented by Frix last updated on 06/Apr/23

It′s just trying...  I think the answer is 54  11×19−7×17=90  7+11+17+19=54

$$\mathrm{It}'\mathrm{s}\:\mathrm{just}\:\mathrm{trying}... \\ $$$$\mathrm{I}\:\mathrm{think}\:\mathrm{the}\:\mathrm{answer}\:\mathrm{is}\:\mathrm{54} \\ $$$$\mathrm{11}×\mathrm{19}−\mathrm{7}×\mathrm{17}=\mathrm{90} \\ $$$$\mathrm{7}+\mathrm{11}+\mathrm{17}+\mathrm{19}=\mathrm{54} \\ $$

Answered by BaliramKumar last updated on 05/Apr/23

60

$$\mathrm{60} \\ $$

Commented by cortano12 last updated on 05/Apr/23

no

$$\mathrm{no} \\ $$

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