Question

sum of the digits of a two digit number is 9 interchange the digits it is found that the resulting number is greater than the original number by 27 what is the two-digit number

Answer 1

Hey mate !
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Easy method :--
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The only possibilities for two digits summing to 99, along with the difference between them and their reversal, are as follows:

90 - 09 = 81

81 - 18 = 63

72 - 27 = 45

63 − 36 = 27

54 − 45 = 9

It is also given that the resulting number is greater than the original number by 27 I.e. 9 + 27 = 36

So the two-digit number required is ultimately 36

Hope it helps !

Answer 2

hye


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le the number be xy

tens place =10+x and ones = y

=>Sum of the digits of a two digit number is 9

=> x +y = 9

=> x = y-9

when we interchange the digits it is found that the resulting number is greater than the original number by 27 

=> 10y +x = (10x +y) +27

=>10y +x -10x - y =27

=>-9x +9y -27

=> 27/9 =  9/9y -9/9x 

=>3 = y - x

since  y +x = 9 and y - x =3

=> x is 3 and y is 6

original no. was  xy

=>36 is original no.

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hope it helps u...............