26 5*5 and 3*3*3
87 is the only 2-digit number that is 6 greater and 13 less than a square, but it is not prime.
2 digit number which is square number less than 42 but greater than 29 = 36square numbers are 2, 9, 16, 25, 36, 49,...
there is no number less than 49 between 1 and 100 that if multiplied by 2 will have a 3-digit product no number less than 50, actually
26
Since there are so few options, trial and error/enumeration would be the way to go here.The 2-digit squares are: 16, 25, 36, 49, 64, 81, 100. The 2-digit cubes are: 27, 64.The only place where the difference between two of these numbers is 2, occurs between 25 and 27, thus the 2-digit number asked for is 26.
26
87 is the only 2-digit number that is 6 greater and 13 less than a square, but it is not prime.
2 digit number which is square number less than 42 but greater than 29 = 36square numbers are 2, 9, 16, 25, 36, 49,...
It is: 81
the number is 24.. 24 is one less than 25 which is 5 squared when doubled its 48, which is one less than 7 squared (49)
there is no number less than 49 between 1 and 100 that if multiplied by 2 will have a 3-digit product no number less than 50, actually
36
26
something I don't know
Since there are so few options, trial and error/enumeration would be the way to go here.The 2-digit squares are: 16, 25, 36, 49, 64, 81, 100. The 2-digit cubes are: 27, 64.The only place where the difference between two of these numbers is 2, occurs between 25 and 27, thus the 2-digit number asked for is 26.
123
Let's list the requirements for the mystery number: One's digit more than the ten's digit. Composite number. Two digits. Even number. Is two less than a square. Now that we've listed the requirements, let's look for a place to "attack" the problem. The easiest is probably to look at squares since our mystery number is two less than a square. Here are the first few squares: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100 and 121. Since our mystery number is 2 less than a square, let's go through that. -1, 2, 7, 23, 34, 47, 62, 79, 98, 119. Now we'll look at two things at once; we'll look only at the 2-digit numbers that are even. (We don't have to look at the "composite number issue" because every even number except 2 is composite since it can be divided by 2.) 34, 62, and 98. Now the number with the one's digit greater than the ten's digit - and there's only one of them: 34. The number 34 has a one's digit greater than the ten's digit, is composite, has two digits, is even, and is 2 less than a square.