Respuesta :
2020 + N ≡ 0 (mod 11)
N ≡ -2020 (mod 11)
Notice that 2020 = 183 • 11 + 7, so
N ≡ -(183 • 11 + 7) (mod 11)
N ≡ -7 (mod 11)
N ≡ 4 (mod 11)
[tex]N=4[/tex]
Step-by-step explanation:
Given :
Whole Number = N
Number = 2020 + N
Solution :
Now through observtion,
[tex]\dfrac{2020+N}{11}=184[/tex] ----- (1)
We took 184 because when we multiply 184 by 11 we get the nearest number to 2020
So from equation (1),
[tex]N=2024-2020[/tex]
[tex]N=4[/tex]
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