Question

ajutati-ma cu acest exercitiu,va roogg! Urgentttt
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Answer 1

Răspuns:

n=15a+10

n=12b+7

n=80c=75

n+5=15a+10+5=15a+15=15d

n+5=12b+7+5=12b+12=12e

n+5=80c+75+5=80c+80=80f

15|n+5

12|n+5

80|n+5

cmmmc(15,12,80)|n+5

15=3*5

12=2^2*3

80=2^4*5

cmmmc(15,12,80)=2^4

3+5=16*3*5=48*5=240

n+5minim=240

n minim =240-5=235

verificare 235:15=15 rest 10

235:12=19 rest 7

235:80=2 rest 75

240k-5 si cresc din 240 in 240(dupa cum k va creste din 1 in 1)

asadar nr sunt 240*1-5=235

240*2-5=475

240*3-5=715

240*4-5=955

abc apartine[235,475,715,955]

Explicație pas cu pas:

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