Question

The sum of the digits of a two-digit number is 12. The number formed by interchanging the digits is 54 more than the original number. What is the original number?

39
48
57

Answer 1

Let the first digit in the original number be A.
Let the second digit in the original number be B.
1.A%2BB=12
The number can be represented as
10%2AA%2BB
The number with digits transposed would be
10%2AB%2BA
Putting all those together would yield,
10%2AB%2BA=10%2AA%2BB%2B54
-9A%2B9B=54

2.-A%2BB=6
Add eq.1 and eq.2 and solve for B.
A%2BB-A%2BB=12%2B6
2B=18
B=9
From 1,
A%2BB=12
A%2B9=12
A=3
Original number is 39.
Transposed number is 93.

Answer 2

check this file

Answer 3

right?

Answer 4

i dont understand

Answer 5

WHAT?

Answer 6

this part
Original number is 39.
Transposed number is 93.