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
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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
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