Question

the sum of the digits of a two digit number is 6 if tje digits are reversed the new number will be 36 grater than the original number find the number​

Answer 1

Answer:

15,36

Step-by-step explanation:

x and y are two digits of a number

number = n

Sum of the digits

x+y=6.....................(1)

When x is ten and y is unit

10x+y=n.............(2)

When the digits are reversed, the new number is 36 more than the original number

Now y is ten and x is unit

10y+x=n+36.............(3)

Subtract (2) from (3)

10y+x=n+36.............(3)

-10x-y=-n.............(2)

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

-9x+9y=36

9(y-x)=36

9(y-x)/9=36/9

y-x=4...................(4)

Add (1) and (4)

y-x=4...................(4)

x+y=6.....................(1)

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

2y=10

2y/2=10/2

y=5

Put the value of y in (1)

x+5=6.....................(1)

x=6-5

x=1

Number = 15

When the digits are reversed = 51 (15+36=51)

hope it is helpful

have a nice day

Answer 2

Answer:

15

Step-by-step explanation:

let no is xy

x+y=6reverseno is yx

10y+X =10x+y+36

x+10y-10x-y=36

-9x+9y=36

-x+y=4

x+y=6

2y=10

y=5

x=6-y

x=6-5=1

no=15