Question

The sum of the digit of a two digit number is 4 then number of got by interchanging the digits is 18 less than The original number .what is the number?

Answer 1

Answer:

the number will be 31

Step-by-step explanation:

let number be 10x+y

number formed after reversing the digits is 10y+x

Answer 2

Answer:

Two digit number = 31

Step-by-step explanation:

Ten's place = x

One's place= y

x + y = 4 (1)

Two digit number = 10x + y

the number got by interchanging = 10y + x

10 y + x = 10 x + y - 18

10 y + - 10 x - y = - 18

9 y/9 - 9 x/9 = -18/9

y - x = -2

- x + y = -2 (2)

x + y = 4 (1)

-x+ y = -2(2)

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2x = 6

x = 6/2

= 3

x + y = 4

3 + y = 4

y = 4 - 3 = 1

y = 1

Two digit number = 10 x + y

= 10x 3+1 = 30+1

= 31

HOPE THIS HELP YOU