18
16 of them.
17 of them. 17 of them. 17 of them. 17 of them.
The sum of the digits in '89' is 17, so I don't need toworry about any perfect square bigger than 16.1: 104: 13, 22, 31, 409: 18, 27, 36, 45, 54, 63, 72, 8116: 79That's 14 of them .
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers
There are 17 such numbers.
18
14
16 of them.
17 of them. 17 of them. 17 of them. 17 of them.
69
To find how many two-digit numbers have digits whose sum is a perfect square, we first note that the two-digit numbers range from 10 to 99. The possible sums of the digits (tens digit (a) and units digit (b)) can range from 1 (1+0) to 18 (9+9). The perfect squares within this range are 1, 4, 9, and 16. Analyzing each case, we find the valid combinations for each perfect square, leading to a total of 36 two-digit numbers whose digits sum to a perfect square.
The sum of the digits in '89' is 17, so I don't need toworry about any perfect square bigger than 16.1: 104: 13, 22, 31, 409: 18, 27, 36, 45, 54, 63, 72, 8116: 79That's 14 of them .
If the number with the digits reversed can have a leading 0 so that it is a 1-digit number, then 16. Otherwise 13.
121.
To find how many numbers from 10 to 93 have the sum of their digits equal to a perfect square, we first identify the possible perfect squares within the range of digit sums. The digit sum of a two-digit number ranges from 1 (for 10) to 18 (for 93). The perfect squares in this range are 1, 4, 9, and 16. By calculating the digit sums for each number from 10 to 93, we can determine that the numbers with digit sums equal to these perfect squares are 10-19 (sum = 1, 4, 9), and some others up to 93, yielding a total of 38 numbers.
the highest sum of the numbers is 17 and the lowest is 1. The only perfect squares in that range are 1,4,9, and 16. That means the following numbers will work: 10,13.18,22,27,31,36,40,45,54,63,72,79,81,88, and 90; that is 16 numbers