Question

the sum of number of 2 digit and of the number formed by reversing the digit is 110 and the difference of the digit is 6 find the number

Answer 1

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Answer 2

let two digits be x and y so x - y = 6

let x be digit in tens place and y be in units place so no. will be 10x + y....eg 51 = 5*10+1 ; 79=10*7+9

10x+y+10y+x = 11x + 11y = 110

11[ x + y] = 110

x + y = 10 + x - y = 6

2x = 16

x=8 and y = 2

the number will be 8*10+2 = 82