1.

The digit of a 2 digit number . Differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143, what can be the original number.

Answer»

Answer:

83

Step-by-step EXPLANATION:

let the ONES digit=X

and tens digit=y

according to question digit difference means

y-x=3. y=3+X

now original NUMBER=10y+X

number obtained by reversing the digits=10x+y...........(1)

on adding these TWO numbers means the original and reversed number

10y+X+10x+y=143. (it is given in question)

11x+11y=143 ...........(2)

now on substituting the value of y

11x+11(3+X)=143

11x+33+11x=143

22x+33=143

22x=143-33

22x=110

X=110/22

X=5

now putting the value of X in eq (1)

y=3+X

y=3+5

y=8

so the number obtained is 10*8+3=80+3=83


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