Question

Помогите плииииииииииизззззззззззззззз!!!!!! в записи первого трёхзначного числа используются только цифры 2 и 3 , а в записи второго _только цифры 3 и 4 .Может ли произведение этих чисел записываться только цифрами 2 и 4?

Answer 1

222 < A  < 333

333 < B < 444

73926 < A*B < 147852

 

В указанном интервале нет ни одного числа, которое можно записать только цифрами 2 и 4...

 

 

Ответ - не может

Answer 2

Solution for Multiplying Numbers with Specific Digits

To determine whether the product of a three-digit number composed only of the digits 2 and 3 and a two-digit number composed only of the digits 3 and 4 can be written using only the digits 2 and 4, we can approach this problem methodically.

First, let's consider the possible combinations of the three-digit number composed of the digits 2 and 3. There are 8 possible combinations: 222, 223, 232, 233, 322, 323, 332, and 333.

Next, we'll consider the possible combinations of the two-digit number composed of the digits 3 and 4. There are 4 possible combinations: 33, 34, 43, and 44.

Now, we'll calculate the products of each combination of the three-digit number with each combination of the two-digit number and check if the product can be expressed using only the digits 2 and 4.

Let's start by calculating the products:

1. 222 * 33 = 7332 2. 222 * 34 = 7556 3. 222 * 43 = 9566 4. 222 * 44 = 9776 5. 223 * 33 = 7359 6. 223 * 34 = 7582 7. 223 * 43 = 9592 8. 223 * 44 = 9808 9. 232 * 33 = 7656 10. 232 * 34 = 7872 11. 232 * 43 = 9986 12. 232 * 44 = 10208 13. 233 * 33 = 7689 14. 233 * 34 = 7912 15. 233 * 43 = 10022 16. 233 * 44 = 10248 17. 322 * 33 = 10626 18. 322 * 34 = 10868 19. 322 * 43 = 13846 20. 322 * 44 = 14208 21. 323 * 33 = 10659 22. 323 * 34 = 10902 23. 323 * 43 = 13909 24. 323 * 44 = 14252 25. 332 * 33 = 10956 26. 332 * 34 = 11212 27. 332 * 43 = 14276 28. 332 * 44 = 14608 29. 333 * 33 = 10989 30. 333 * 34 = 11256 31. 333 * 43 = 14319 32. 333 * 44 = 14688

After calculating the products, we can see that none of the products can be expressed using only the digits 2 and 4. Therefore, the product of a three-digit number composed only of the digits 2 and 3 and a two-digit number composed only of the digits 3 and 4 cannot be written using only the digits 2 and 4.