Question

The sum of the digit of a two digit number is 12. if the bew number formed by reversing the digit is greater than the origin number by54,find the original number.​

Answer 1

Answer:

in

Step-by-step explanation:

If the new number formed by reversing the digits is greater than the original number by 54. Find the original number. Check your solution.

Answer 2

Step-by-step explanation:

let units place of two digit number be X

let tens place of two digit number be y

Original number =10y+x

sum of digits = x+y = 12 ---> eq 1

Reversed number = 10x + y

Now,

(10x + y) - (10y+x)=54

10x + y - 10y -x =54

9x - 9y = 54

9( x - y ) = 54

x-y = 54/9

x- y= 6---> eq 2

eq 1 + eq 2:

x + y + x - y = 12 + 6

2x= 18

x = 9

From eq 1:

x + y = 12. (substitute X = 9 )

9 + y = 12

y = 12 - 9

y = 3

the original number is 39

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