a two digit number is such that the sum of its digit is 8.if 54 is subtracted from the number its digits are reversed find the number
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Let the number be 10x + y.
A / q ,
X + Y = 8 ... 1
10 x + y - 5 4 = 10 y + x
= 10 x + y - 10 y - x = 5 4
= 9x - 9y = 54
= ( x - y ) = 54 / 9 = 6 ... 2
Adding 1 and 2..
X + Y + X - Y = 8 + 2
= 2X = 10
= X = 5
And y = 3
Number = 53 Ans.
A / q ,
X + Y = 8 ... 1
10 x + y - 5 4 = 10 y + x
= 10 x + y - 10 y - x = 5 4
= 9x - 9y = 54
= ( x - y ) = 54 / 9 = 6 ... 2
Adding 1 and 2..
X + Y + X - Y = 8 + 2
= 2X = 10
= X = 5
And y = 3
Number = 53 Ans.
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