Question

the sum of two digit number is 9 if 27 subtracted from the number its digits are interchanged find the number​

Answer 1

Since there are only 4 pairs of 2 digit numbers with sum of its digits as 9 and whose reverse is also a 2 digit number, we can list them.

18, 81

27, 72

36, 63

45, 54

We see the difference between 36 and 63 is 27, so those are our two numbers.

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ANOTHER WAY

x + y = 9 … (1)

10*x + y = 10*y + x + 27

9*x - 9*y = 27

9*(x - y) = 27

x - y = 27/9

x - y = 3 … (2)

Solving (1) and (2)

we get x = 6 and y = 3

Therefore the numbers are 63 and 36.

Answer 2

Step-by-step explanation:

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