Mathematics

a 2- digit number with 2 different digits has a special property:
"when the sum of its digits is added to the product of its digits, the result is the number itself."
what is the smallest number with this property?


Answers

natedog4

2 years ago Comment

Hello,

a is the digit of tenth (not zero)
b the digit of units
The number is 10*a+b
Sum of digits: a+b
Product of digits=a*b

a+b+ab=10a+b
==>9a=ab
==>b=9
Th smallest number is 19.
1+9=10
1*9=9
10+9=19