Math, asked by Niakim, 8 months ago

A number consists of two digits whose sum is 9 . if 27 is subtracted from the number, it's digits are reversed. Find the number.

Answers

Answered by malapal45
2

Answer:

it is both answer of 9 and 27 is like us both answer is 3

Answered by MysticalStar07
20

Answer:

\bf given \: that

\bf let \: once \: place \: digit \: of \: a \:

\bf number \: be \: x

\bf ⇒sum \: of \: 2 \: digit \:  = 9

\bf ⇒tens \: place \: of \: a \:

\bf number \:  = 9 - x

\bf ⇒10(9 - x)x = 90 - 10x - x\bf ⇒10(9 - x)x = 90 - 9x

\bf 27 \: is \: subtracted \: from \: the \:

\bf ⇒number \: we \: get \: the \:

\bf digit \: are \: reversed

\bf ⇒90 - 9x - 27 = 10(x) + 9 - x

\bf ⇒90 - 9x - 27 = 10 + 9 - x

\bf ⇒- 9x  + 63 = 9x + 9

\bf ⇒63 - 9 = 9x + 9x

\bf ⇒54 = 18x

\bf  ⇒\frac{54}{18}  = x

\bf ⇒x  = 3

\therefore therefore

\bf ⇨once \: place \:  = 3

\bf ⇨tens \: place \:  = 9 - 3

\bf ⇨tens \: place \:  = 6

Step-by-step explanation:

HOPE IT HELPS YOU FRIEND

Similar questions