A 2 digit number is 9 more than the number obtained when its digits are reversed. It is sum of its digits is 9 find the number
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HERE IS UR ANSWER ______
LET TWO DIGIT NUMBER BE 10 y + x
ACCORDING TO FIRST CONDITION ,
=> 10 y + x = 9 + 10 x + y
=> 10 y + x - ( 10 x + y ) = 9
=> 10 y + x - 10 x - y = 9
=> 9 y - 9 x = 9
=> 9 ( y - x ) = 9
=> x - y = 1
GIVEN -
x + y = 9
x - y = 1
------------------
2 x = 8
x = 4
4 + y = 9
y = 5
SO , TWO DIGIT NO. IS 45 .
HERE IS UR ANSWER ______
LET TWO DIGIT NUMBER BE 10 y + x
ACCORDING TO FIRST CONDITION ,
=> 10 y + x = 9 + 10 x + y
=> 10 y + x - ( 10 x + y ) = 9
=> 10 y + x - 10 x - y = 9
=> 9 y - 9 x = 9
=> 9 ( y - x ) = 9
=> x - y = 1
GIVEN -
x + y = 9
x - y = 1
------------------
2 x = 8
x = 4
4 + y = 9
y = 5
SO , TWO DIGIT NO. IS 45 .
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