SOLUTION: the sum of the digits of a two-digit number is 14. if the digits are reversed, the new number is 18 less than the original number. find original number

Question 262069: the sum of the digits of a two-digit number is 14. if the digits are reversed, the new number is 18 less than the original number. find original number
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the number be xy
Given, x+y = 14 ...(1)
Also,if the digits are reversed, the new number is 18 less than the original number.
10y+x = 10x+y-18
10y+x-10x-y = -18
9y-9x = -18
y-x = -2 ...(2)
(1)+(2) => 2y = 12
y = 6
(1)=> x+6 = 14
x = 14-6=8
So the required number is 86
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)

Can you please help me set this problem up? The sum of the digits of a two-digit number... (answered by solver91311)

The sum of the digits of a two-digit number is 14. If the digits are reversed the new... (answered by richwmiller)

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 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)