a two digit number is 9 more than the number obtained when its digits

1.	a two digit number is 9 more than the number obtained when its digits are reversed if the sum of its digits is 9 .find the number
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 .

a two digit number is 9 more than the number obtained when its digits are reversed if the sum of its digits is 9 .find the number

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 .