Math, asked by AnandaKrishnan3712, 1 year ago

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

Answers

Answered by dhillonrobin
25
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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
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2 x = 8

x = 4

4 + y = 9

y = 5

SO , TWO DIGIT NO. IS 45 .
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