Question

The sum of a two-digit number and the
number obtained by interchanging the digits
is 154. If the ten's digit number is 2 more
than unit's digit number, find the original
number.

Answer 1

Step-by-step explanation:

Let the first digit be (10x+y).

After interchanging unit and tens place we get =(10y+x)

Acc to question

y=x+2 ________(1)

(10x+y) +(10y+x) =154

11x+11y=154

11(x+y) =154

x+y=14

x+x+2=14

2x=12

x=6

y=6+2=8

So the digit is 86.

Answer 2

let the unit place digit be x and tens place digit be y

then the two digit number will be10y+x and the number form by interchanging the unit place and tens place digits will be 10x+y.