All 2 digit numbers where both places occupy the same number, in an as...
The pair of such numbers are
11/12; 22/23; 33/34; 44/45; 55/56; 66/67; 77/78; 88/89;
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All 2 digit numbers where both places occupy the same number, in an as...
Given:
- We need to find all 2-digit numbers where both places occupy the same number.
- The numbers should be in ascending order.
- The first two-digit number is 10.
To find:
- The number of vertical lines separating such pairs of consecutive numbers.
Solution:
To solve this problem, we can follow these steps:
Step 1: Find all the 2-digit numbers where both places occupy the same number in ascending order.
Starting from 10, we can list all such numbers as follows:
10, 11, 22, 33, 44, 55, 66, 77, 88, 99
Step 2: Count the number of pairs of consecutive numbers.
From the list obtained in Step 1, we can see that there are 9 pairs of consecutive numbers:
(10, 11), (11, 22), (22, 33), (33, 44), (44, 55), (55, 66), (66, 77), (77, 88), (88, 99)
Step 3: Count the number of vertical lines separating the pairs of consecutive numbers.
To separate each pair of consecutive numbers, we need a vertical line. Therefore, the number of vertical lines is equal to the number of pairs of consecutive numbers. From Step 2, we found that there are 9 pairs of consecutive numbers, so the number of vertical lines is also 9.
Answer:
Therefore, the correct answer is option A) 8. There are 9 vertical lines separating the pairs of consecutive 2-digit numbers where both places occupy the same number.