Question

in a two digit number the sum of two digits is 9. if 27 is added to the number its digits are riversed.find the number

Answer 1

Hi.
Let the tens digit be x and once digits be y.
Thus, the two digit number will be 10x + y

According to the question,
     x + y = 9 --------------equation 1.
Also,
    10x + y + 27 =10y + x
   9x - 9y = -27
   x - y = -3  ----------------------equation 2.
From 1 and 2,solving simultaneously.
     x = 3 and y = 6.
Thus, number = 10x + y
                      =  10 * 3 + 6
                       = 30 + 6
                       = 36
 
Hope it will help u.


Please mark this answer as brainliest.

Answer 2

Hi...☺

Here is your answer...✌
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★Let the ten's digit be x
★Let the unit's digit be y

Then
★The Number = 10x+y
★Reversed number = 10y+x

According to the question,

x+y = 9 _____(1)

And,

10x+y + 27 = 10y+x

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

9x - 9y = -27

=> x-y = -3 _____(2)

On solving (1) and (2)

x+y = 9
x-y = -3
_______(By adding)
2x = 6

=> x = 3
Putting in (1)
3+y = 9
y = 9-3
y = 6

And , 10x+y = 10×3 + 6 = 36

Hence the number is 36
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Thank you ⭐