1.

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»

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


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