Question

The sum of the digit of a two number iss 15.if the number formed by reverseing difit is less than the original number by 27,find the original number and check your answer

Answer 1

Answer:

Step-by-step explanation

Let the original number be 10y+x

And interchange number be 10x+y

From 1st condition

X + Y = 15...........1

From 2nd condition

10x+y-27=10y-x

10x-x+y-10y=27

9x-9y=27

Divide by 9

x-y=3..........2

Add equation 1 and 2

x+y=15

x-y= 3

2x=18

x= 18/2

x= 9.......

Put in equation 1

x+y = 15

9+y= 15

y= 15-9

y = 6

So, the original number is

10y+x

10×6+9

60+9

69

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