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

Step-by-step explanation:

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

Answer 2

Answer:

88

Step-by-step explanation:

12+x=100

    x=100-12

      =88