Question

the sum of the two digits of a 2 digit number is 9 when the digits are reversed the number decreases by 9 find the original number​

Answer 1

Answer:

Given x + y = 9 when the digits are reversed we get yx. Now yx can also be written as 10y + x since y corresponds to 10 th place and x corresponds to unit place. => the number is 45 which when reversed become 54 that is increased by 9. Hence the digit is 45

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Answer 2

Step-by-step explanation:

let let the digits be X and Y

X + Y = 9 let's catch it as equation number 1

(10 X + Y) - (10 Y + x)= 9

10 X + Y - 10 Y - x= 9

9 x - 9 y = 9

x - y = 1 let us catch it as equation number 2.

let's add both equation number 1 and equation number 2

X + y = 9

+ x - y = 1

--------------------

2 x = 10

x = 5

now it is easy to get the answer of why

putting the value of x in equation number 1

5 + y = 9

y = 9 - 5

y = 4

hence the digit is : 10 X + Y = 50 + 4=54

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