Question

the sum of digit of a2 digitnumber is 10 if we reverse the digit the new number will be 54more than original number what is original number​

Answer 1

Answer:

THE ANSWER IS 28 .

Step-by-step explanation:

LET'S THE UNIT'S DIGIT OF THE ORIGINAL NUMBER BE x

THE TEN'S DIGIT = 10 - x ( ∵ THEIR SUM IS 10 .SO IF ONE NUMBER = X , SO OTHER NUMBER = 10 - x )

SINCE. THIS   IS THE ARRANGEMENT ,

SO NUMBER = 10 ( 10 - x ) + x

= 100 - 10x + x

100 - 9x             ...........................................(1)

WHEN IT'S REVERSED

THEN , TEN'S DIGIT = x

UNIT'S DIGIT = 10 - x

SINCE THIS IS THE ARRANGEMENT .

SO ,  NUMBER = 10 (x) + 10 -x

10x + 10 -x

9x + 10          ...............................................(2)

ACCORDING TO THE QUESTION ,

9x + 10 + 54 = 100 - 9x

9x + 64  =  100 - 9x

18 x = 100 - 64

18x = 36

x = 36/18

= 2

since ten's digit = 2

unit's digit = 10 - 2 = 8

so, the number is 28 .

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