sum of digits of a two digit numbers is 12 on interchanging the digits new number formed will be 54 more than original number find the original number
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sum of digits of a two digit numbers is 12 on interchanging the digits new number formed will be 54 more than original number find the original number
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Question:-)sum of digits of a two digit numbers is 12 on interchanging the digits new number formed will be 54 more than original number find the original number?
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Solution:-
Let to be 10 unit digit number be x
Let to be 1 unit digit number be y
then,
X+y=12
Again...
Original number=10x+y
Required Number=10y+x
Then,,
Follow the Question statement....
10x+y+54=10y-x
10x-x+y-10y=-54
9x-9y=-54
9(x-y)=-54
x-y=-54/9
x-y=-6
Solving the equation by elimination method....
x+y=12
x-y=-6
_________
2y=18
y=18/2
y=9
then...
x+y=12
x+9=12
x=12-9
x=3
Original number=
10x+y=
10(3)+9=39
that's all