SOLUTION: THE SUM OF THE DIGITS OF THE TWO DIGITS- NUMBER IS 12.If the order of the digits is reversed,the resulting number is 18 more than the original number.FIND THE ORIGINAL NUMBER.
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Question 475317: THE SUM OF THE DIGITS OF THE TWO DIGITS- NUMBER IS 12.If the order of the digits is reversed,the resulting number is 18 more than the original number.FIND THE ORIGINAL NUMBER.
You can put this solution on YOUR website! Let the 2-digit number be AB, where A is in the ten's place and B is in the one's place.
The value of AB is 10*A + B
If you reverse the order to BA then the value is 10*B + A
Set up equations:
We know the sum of A and B is 12. We know the value of BA is 18 more than value of AB.
Combine like terms in 2nd equation
Subtract B on both sides, Subtract A on both sides
Divide by 9 on both sides
Now substitute A+2 for B in 1st equation:
Subtract 2 on both sides
Divide by 2 on both sides
B = A + 2 = 5+2 = 7
Therefore the original number (AB) is 57
