Question

the sum of the digits of a 2-digit number is 16. if 12 is added to this number , the new number is 100. find the original number​

Answer 1

refer the attachment hope its help u

Answer 2

Answer:

Let

The number be 10x+y

Given That ,

= x + y = 16 ---- ( 1 )

And,

= 10x + y + 12 = 100

= 10x + y = 100 - 12

= 10x + y = 88 ----( 2 )

On subtracting equation 1 from equation 2 :

= 10x + y = 88

- ( x + y = 16 )

= 9x = 72

= x = 72/9

= x = 8

On putting x=8 in equation 1,

We get -

= 8 + y = 16

= y = 16 - 8

= y = 8

Therefore the number is

= 10 × 8 + 8 [ putting the value of x and y in 10x+y]

= 80+8

= 88