Question

The sum of the digits of a two digit number is
7. If 9 is added to the number, the digits inter-
change their places. Find the number.


pls answer... it's important ​

Answer 1

Answer:

34

Step-by-step explanation:

let the number = 10x + y

given:

x+y = 7 .---------(1)

10x+y+9=10y+x

==> 9x+9 = 9y

9(x+1)=9y

x+1 = y .------(2)

substituting (2) in (1)

x+x+1 = 7

2x = 6

x = 3 -----(3)

substituting (3) in (1)

3 +y = 7

y = 4

therefore the number is ,

34

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Answer 2

Answer:

number is 34

Step-by-step explanation:

Let "x" be the "ones" , then "tens" will be (7 - x) and the number is (7-x) x  =

(7 - x)×10 + x

When digits interchange their places: x (7-x) =

10x + (7-x)

10(7-x) + x + 9 = 10x + (7-x)

70 - 10x + x + 9 = 10x + 7 - x

79 - 9x = 9x + 7

18x = 72

x = 4

7 - 4 = 3

Thus, number is 34

34 + 9 = 43