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

Answer 1

$\textbf{Solution:}$

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Answer 2

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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