The sum of a 2 digit no is 7.if 27 is added to the number the digits interchange their places.
Find the number.
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LET TWO DIGIT NO. BE 10 y + x
ACCORDING TO FIRST CONDITION ,
=> 10 y + x + 27 = 10 x + y
=> 10 y + x - 10 x - y = - 27
=> 9 y - 9 x = - 27
=> y - x = - 3
GIVEN ,
y + x = 7
y - x = - 3
------------------
2y = 4
y = 2
x = 5
SO , TWO DIGIT NO. IS 25 .
LET TWO DIGIT NO. BE 10 y + x
ACCORDING TO FIRST CONDITION ,
=> 10 y + x + 27 = 10 x + y
=> 10 y + x - 10 x - y = - 27
=> 9 y - 9 x = - 27
=> y - x = - 3
GIVEN ,
y + x = 7
y - x = - 3
------------------
2y = 4
y = 2
x = 5
SO , TWO DIGIT NO. IS 25 .
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