Question

10. The sum of the digits of a two-digit number is 13. If 27 is added to the number, the digits get interchanged. What is the number?​

Answer 1

Answer:

58

Step-by-step explanation:

sum of two digit is 5+8=13

If 27 is added to number

58+27=85

This a trial and error method

Answer 2

Answer:

58

Step-by-step explanation:

let the ones place be=y and tens place=x

ATQ

x + y=13 (1)

10x+y+27=10y+x

=> 10x-x+y-10y+27=0

=> 9x-9y=-27

=> x-y=-3 (2)

adding equations 1 and 2:

x + y=13

x-y=-3

--------------

2x= 10

x=5....3

putting x=5 in equation1:

5 +y = 13

y=13-5

y=8

therefore the required number will be:

10x+y

10*5+8

50+8

58.