Question

Sum of the digits of a two-digit number is 9. When we interchange the digit, it is
found that the resulting new number is greater than the original number by 27. What
is the two-digit number?​

Answer 1

Answer:

HEYY!!

36

Step-by-step explanation:

let the two digit no. be=>10x+y

After interchanging the digits the new no. is=> 10y+x

A.T.Q=> x+y=9

x=9-y-----(1)

10x+y+27=10y+x

9x-9y=-27

x-y= -3

x=-3+y-------(2)

equating (1) and (2)

9-y=-3+y

12=2y

y=6

x=3

Original two digit no.=36

Hope it helps!!!!

Answer 2

Step-by-step explanation:

Let digit at one's place be x

Therefore, digit at tens place = 9-x

Number= 10(9-x) + x = 90 - 9x ..........(1)

According to question, On reversing the digits, new number = 10(x) + 9-x = 9x+9.........(2)

According to question, 90 -9x = 9x + 9 + 27

18x = 54

therefore x = 3

therefore 2 digit number is 36 Answer

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