A number is totally even if all its digits are even. For instance, the numbers 2022 is totally even. How many four-digit totally

Question

2 years ago

8

even numbers X are there such that X + 2022 is totally even?

1 answer:

dem82 [27] · Answer 1 · 2023-01-24T23:00:15+03:00

Answer:

The units digit of our number should be and can be any of 0, 2, 4, 6 (four opportunities).

The tens digit of our number should be and can be any of 0, 2, 4, 6 (four opportunities).

The hundreds digit of our number should be and can be any of 0, 2, 4, 6, 8 (five opportunities).

The thousands digit of our number should be and can be any of 2, 4, 6 (three opportunities).

So, there are 4*4*5*3 = 16*15 = 240 such 4-digits totally even numbers, satisfying the condition. ANSWER

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