Question

The digit of a two digit number differ by 2. If the digit are interchanged of the resulting number is added to the original number, we get 154. Find the number.​

Answer 1

Step-by-step explanation:

Let the second digit be x, so the first digit is x+2.

First number= (x+2)10+(x)1

= 10x+20+x

= 11x+20

Second number= (x)10+(x+2)1

=10x+x+2

=11x+2

According to question

First question+Second question=154

11x+20+11x+2=154

22x+22=154

22x=154-22

22x=132

x=6

First digit=x+2=6+2=8

Second digit=x=6

The number=8*10+6*1

=80+6

=86 Ans.

This is correct, hope this helps :)

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