SOLUTION: The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 18 less than the original number. Find the original number.

Question 694692: The sum of the digits of a two-digit number is 12. If the digits are reversed, the new number is 18 less than the original number. Find the original number.
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
The sum of the digits of a two-digit number is 12.
let the ones digit is x then tens digit is 12-x
then the no is 10(12-x)+x........original no
If the digits are reversed,
the no is 10x+(12-x)...........new no
the new number is 18 less than the original number.
so 10x+(12-x)=10(12-x)+x-18
or 9x+12=102-9x
or 18x=102-12=90
or x=5 is the ones digit
so the tens digit ig 12-5=7
so the original number is 75
RELATED QUESTIONS
The sum of a two-digit number is 6. If the digits are reversed, the new number is 18 less (answered by nyc_function)

The sum of the digits in a two-digit number is 8. When the digits are reversed, the new... (answered by london maths tutor)

the sum of the digits of a two-digit number is 12. if the digits are reversed, the new... (answered by rapaljer)

THE SUM OF THE DIGITS OF A TWO-DIGIT NUMBER IS 12. IF THE DIGITS ARE REVERSED THE NEW... (answered by vleith)

The sum of two digits of a two digit number is seven. If the digits are reversed, the new (answered by rapaljer)

A two-digit number is three less than seven times the sum of its digits. If the digits... (answered by 24HoursTutor.com)

A two Digit number is three less than seven times the sum of its digits if the digits are (answered by mananth)

A two digit number is three less than seven times the sum of its digits. if the digits... (answered by stanbon)

Please heeelp. a two-digit number is three less than seven times the sum of its... (answered by josgarithmetic)