Question

numbers?
Sum of the digits of a two-digit number is 9. When we interchange the digits, 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:

36

Step-by-step explanation:

if first digit is x and second is y then,

$x + y = 9$

Original two digit number will be

$10x + y$

digits interchanged number will be

$10y + x$

Then

$10y + x = 10x + y + 27$

$(10y + x) - (10x + y) = 27$

$9y - 9x = 27$

$9x + 9y = 81$

$(9x + 9y = 81) - (9y - 9x = 27)$

$18x = 81 - 27 = 54$

$x = 54 \div 18 = 3$

If x = 3 then

$y = 9 - 3 = 6$

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