Question

Using the digits 2 to 9, and not repeating the digits, write the largest two digit having a horizontal line of symmetry.

Answer 1

Hint: We need to find the largest two digit having a horizontal line of symmetry. First, we will find the digits available to use that have a horizontal line of symmetry. Then, we will form the greatest number from those digits without repeating them to get the required two digit number.

Complete step-by-step answer:
First, we will list the digits available to use.
The digits are 2, 3, 4, 5, 6, 7, 8, and 9.
The two digit number formed by using any of the digits will have a horizontal line of symmetry only if the two digits used both have a horizontal line of symmetry.
We can observe that out of the given digits, only the digits 3 and 8 have a horizontal line of symmetry.
The two digit numbers that can be formed using the digits 3 and 8 are 33, 38, 83, and 88.
It is given that the two digit number is formed without repeating the digits.
Therefore, the two digits numbers 33 and 88 are not a possible answer.
The remaining two digit numbers are 38 and 83.
Both 38 and 83 have a horizontal line of symmetry.
We know that 83 is greater than 38.
Therefore, the largest two digit number that can be formed using the digits 2 to 9, without remaining the digits, and having a horizontal line of symmetry, is 83.

Note: We used the term ‘horizontal line of symmetry’ in the solution. A shape has a horizontal line of symmetry if it is symmetrical when divided by a horizontal line. We used the digits 3 and 8 because they have a horizontal line of symmetry, and then obtained the number 83. We can check the horizontal line of symmetry of 3, 8, and 83.