Question

the sum of the digits of a 2 digit number is 10.if we reverse the digits the new number will be 54 more than the original number what is the original number

Answer 1

hello here is your answer by Sujeet yaduvanshi ☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝☝



Let to be 10' unit digit=x
Let to be 1 unit digit=y
then,

X+y=10. ----(1)


Again,


10x+y+54=10y+x

10x-x+y-10y=-54
9x-9y=-54

9(x-y)=-54

x-y=-54/9
x-y=-6


Now solving the equation by elimination method:))


x+y=10
x-y=-6

_______
2y=16

y=16/2
y=8


then,

x+y=10
x+8=10
x=10-8
x=2

Again Required Number:).


10y+x

10*8+2
80+2

82





that's all


Remember Name:). YADUVANSHI