2 years ago

Find the least whole number N so that 2020 + N is exactly divisible by 11.

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

8 0

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)

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