Question

A number consist of two digits. The sum of digits is 8. If digits are
interchanged, then new number becomes 36 less than the original number.
Find the number.​

Answer 1

Answer:

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Answer 2

Answer:

So the number=62

Step-by-step explanation:

Let the 10's digit x

then unit digit=8-x

So No N=10x+8-x=9x+8-----------------(1)

Now the digits are interchanged

Unit digit=x

10'digit=8-x

Thus new number

N'=10(8-x) +x=80-10x+x=80-9x-----------(2)

Given that:

N-N'=36

(9x+8)-(80-9x)=36

9x+8-80+9x=36

18x=108

x=6

So 10' digit=6

and unit digit=8-6=2

So the number=62