Question

a two digit number is such that the sum of its digit is 8 if 54 is subtracted from the number its digits are reversed find the number

Answer 1

Let the unit digit be x
and ten's digit be y


Original number :- 10y + x
Reversed number:- 10x + y

x + y = 8

x = 8 - y ......... ( i )


10y + x - 54 = 10x + y

10y - y + x - 10x = 54

9y - 9x = 54

y - x = 6 ........ ( ii )

Putting the value from ( i ) in ( ii )

y - x = 6

y - ( 8 - y ) = 6

y - 8 + y = 6

2y = 6 + 8

2y = 14

y = 7


Putting the value of y in ( i )

x = 8 - y

x = 8 - 7

x = 1


Original number :- 10y + x

10 × 7 + 1

70 + 1

71

The required number is 71

Answer 2

Answer:

Step-by-step explanation:

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