Question

in a two in a two digit number the sum of two digit is 8 if 18 is added to the number its digits are reversed find t
he number ​

Answer 1

Answer:

Lets take the two digit number as 10x + y

x + y = 8                     --------------------------- 1

10x + y + 18 = 10y + x

9x - 9y + 18 = 0          --------------------------- 2

we get the value of x from equ . 1

x = 8-y

Now we substitute the value of x in equ . 2

9 ( 8-y ) - 9y + 18 = 0

72 - 9y - 9y + 18 = 0

90 - 18y = 0

18y = 90

y = 90/18

  = 5

We know from equ.1 that x + y = 8

x + 5 = 8

x = 8-5

  = 3

The number is given as 10x + y

By substituting the values of x and y ,

10x + y = 30 + 5

            = 35

Hope it helps:)

Answer 2

Answer:

35

Step-by-step explanation:

Number is 35

Sum = 3+5 =8

=35+18

=53