Question

A number consists of two-digits whose sum is 9. if 9 is subtracted from the number, the digits interchange
their places. Find the number​

Answer 1

Answer:

Number is 45 and 54

Step-by-step explanation:

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Answer 2

$\textbf{\underline{QUESTION:}}$

A number consists of two-digits whose sum is 9. if 9 is subtracted from the number, the digits interchange their places. Find the number.

$\textbf\green{\underline{ANSWER:}}$

$\mapsto$ Let us assume, x and y are the two digits of a two-digit number.

Therefore, the two-digit number = 10x + y and the reversed number = 10y + x

Given:

$\boxed{x + y = 9}$ ----------(1)

Also given:

10x + y - 9 = 10y + x

$\implies$9x - 9y = 9

$\implies$ x - y = 1 -----------2

Adding equation 1 and equation 2

$\implies$ 2x = 10

$\implies$ x = 5

$\therefore$ y = 9 - x = 9 - 5 = 4

Therefore, the two digit number = 10x + y = 10*5 + 4 = 54.

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