Question

Write all the two digit numbers which when added to 27 get reversed with solution

Answer 1

Answer:

You need to find two digit numbers

Suppose the digits be x and y

Now u can represent any two digit number as 10x + y where x is tens place digit and y is ones place digit

ex :- 52 = 5*10 + 2

Now adding it with 27 gets digit reversed

digits reversed means now y become tens place digit and x becomes ones place digit

so number can be represented as 10y + x

Now write the equations and we will find some good result

10x + y + 27 = 10y + x

9y -9x = 27

y - x = 3

So you got relation between digits

Now start pairing

Assume y = 4 then x = 1

Number is 14

if y = 5 then x = 2

Number is 25

Now find values for y = 6,7,8 till 9 ( as 10 is not single digit u know it)

for y = 9 x = 6

So numbers we found are 14 , 25 , 36 , 47 , 58 and 69

Step-by-step explanation:

You can deduce why i started from y = 4 as y = 3 or less would give negative numbers and that's not what we want

You can verify it

Take number 47 add 27 we get 74 and that's bit reversed

Hope it helps you :-)