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?

Question

Mathematics

Jamiya Graves

4 September, 09:45

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?

+2

Answers (1)

Know the Answer?

Callie York · Answer 1

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

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?

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?