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HEY!!
______
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
_______
Thanks!!
______
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
_______
Thanks!!
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