12. The sum of the digits of a two digit number is 5
If the digits are reversed, the number is reduced
by 27. Find the number.
please give answer
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samharsh
14.11.2014
Math
Secondary School
+5 pts
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the sum of the digits of a two digit number is 5. If the digits are reversed, the number is reduced by 27. Find the number.
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joshinrexy22
joshinrexy22 Ace
Let the digits be x and y respectively.
Therefore, x + y = 5 ----------- (1)
Original Number : 10x + y
Reversed Number : 10y + x
10x + y - (10y + x) = 27
10x + y - 10y - x = 27
9x - 9y = 27
9 (x - y) = 27
x - y = 3 ------------ (2)
Adding equation (1) and (2)
2x = 8
x = 4
Substituting value for x in equation (1), we get
4 + y = 5
y = 1
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