Question

The difference in the digit of a two digit number is 1 . If the digits are interchanged , the new number becomes 9 more than the old number. find the number​

Answer 1

Answer:

Let x and y represent the ten's and unit's place of a

number such that x>y.

The number is xy = 10x + y ... (i)

When the digits are interchanged, the number becomes

yx = 10y+x

According to the question,

x + y = 9 ... (ii)

10y + x = 10x + y +9

9y - 9x = 9

y - x = 1 ... (iii)

Solving (ii) and (iii), we get

x = 4 and y = 5

So, the answer is 45 or 54

Answer 2

Answer:

the difference in the digit of two digit number is 1 if the digits are interchanged the new number become 9 more than the old number find the number