Question

"24' A perfect square number is obtained by multiplying a whole number by itself.

How many perfect square numbers between 10 and 99 have digits that add to a number that is a perfect square

Answer 1

Answer:2

Explanation:

There are 9 perfect square numbers between 10 and 99: 16, 25, 36, 49, 64, 81, 100.

Out of these, the numbers 16, 25, 36, 81 have digits that add up to a perfect square number.

16 -> 1+6 = 7 (not a perfect square) 25 -> 2+5 = 7 (not a perfect square) 36 -> 3+6 = 9 (a perfect square) 49 -> 4+9 = 13 (not a perfect square) 64 -> 6+4 = 10 (not a perfect square) 81 -> 8+1 = 9 (a perfect square)

So the answer is 2.