SOLUTION: The sum of the digits of a two digit number is 14.
If the digits are reversed, the new number is 36 more than the original number.
Find the original number.
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-> SOLUTION: The sum of the digits of a two digit number is 14.
If the digits are reversed, the new number is 36 more than the original number.
Find the original number.
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Question 946711: The sum of the digits of a two digit number is 14.
If the digits are reversed, the new number is 36 more than the original number.
Find the original number. Answer by amarjeeth123(570) (Show Source):
You can put this solution on YOUR website! Let the digits of the number be x and y respectively.
Let the tens digit be x and the units digit be y.
The number is (10x+y)
x+y=14..........equation 1
When the digits are reversed the new tens digit is y and the new units digit is x.
When the digits are reversed the new number is (10y+x)
10y+x=36+(10x+y)
9y=36+9x
y=4+x..........equation 2
Substituting equation 2 in equation 1.
x+4+x=14
2x+4=14
2x=10
x=5
y=9
The original number is 59.
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