## anonymous 3 years ago the sum of the digits of a certain two-digit number equals the square root of the number? what is the number?

1. anonymous

conside the number 23 $$23 = 2\times10+3$$ so if a number is formed by two digits "a" and "b" then the number is $$a\times10+b$$

2. anonymous

so, the condition in the problem gives us: $a+b=\sqrt{a\times10+b}$

3. anonymous

thx. you