Question

Find a 3 digit postive interger,the sum of the digits is 14, the tens digit is two more than the ones digit, and if the digits are reversed, the number is unchanged

Answer 1

Three digit number:
ABC

"if the digits are reversed, the number is unchanged":

A=C, so our number is ABA

"the sum of the digits is 14":

A + B + A = 14 or 2A + B = 14

"the tens digit is two more than the ones digit":

B = A + 2

We have two equations:

2A + B = 14

B = A + 2

Using substitution, we have:

2A + A+2 = 14

3A + 2 = 14

3A = 12

A = 4

Going back to B = A + 2:

B = 4 + 2

B = 6

The number, ABA is 464.