Question

the sum of digits of two digit number is 13 if the number is subjected from one obtained by enterprising the digits the result is 45 what is the number​

Answer 1

Step-by-step explanation:

Let the number is 10x+y

so x+y=13__(1)

New number is 10y+x

∴10y+x−10x−y=45

⇒9(y−x)=45

⇒ y−x=5___(2)

From (1) & (2)

2y=18 y=9

so x=4

∴ the number is 49

Answer 2

Step-by-step explanation:

Let the no. is 10x+y

so x+y=13__(1)

New no. is 10y+x

∴10y+x−10x−y=45

⇒9(y−x)=45

⇒ y−x=5___(2)

From (1) & (2)

2y=18 y=9

so x=4

∴ the no. is 49