Charlie and Andy solve this problem in two different ways.
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Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is
where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as
Now, we can say that m>n because m and n are positive integers.
For n=1,
19 is not divisible by 5 so m is not an integer for n=1.
For n=2,
The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is
Therefore the smallest positive integer solution to the given system of congruences is 30.
1. The numbers in the section to the right of the diagonal (white squares) are the same as in the section to the left of the diagonal. Or, in other words, the numbers in the darker shaded section are repeated in the lighter shaded section.
2. The 10 × table is just the 10s in order (10, 20, 30, 40 and so on).
3. The 5 × table has numbers ending in 5 and 0 alternately, while the first digit increases every 2 numbers.
4. The 9 × table has the units decreasing by 1 and the 10s increasing by 1 each time (up to 10 × 9).
5. The numbers in the 3 × table have the sum of their digits coming to 3, then 6, then 9. This pattern repeats throughout the table: e.g. 12: 1 + 2 = 3; 15: 1 + 5 = 6, 18: 1 + 8 = 9.
Hope my answer helped u :)
2. The 10 × table is just the 10s in order (10, 20, 30, 40 and so on).
3. The 5 × table has numbers ending in 5 and 0 alternately, while the first digit increases every 2 numbers.
4. The 9 × table has the units decreasing by 1 and the 10s increasing by 1 each time (up to 10 × 9).
5. The numbers in the 3 × table have the sum of their digits coming to 3, then 6, then 9. This pattern repeats throughout the table: e.g. 12: 1 + 2 = 3; 15: 1 + 5 = 6, 18: 1 + 8 = 9.
Hope my answer helped u :)
Answer:
Solution with step by step explanation is the image attached below
