Question

A number is 27 more than the number obtained by reversing its digits.If its unit's and ten's digit are x and y respectively write the linear equation representing the above statement.​

Answer 1

Answer:

l

Step-by-step explanation:

let unit place number is x and tens place is y

Answer 2

GIVEN :

$\bf \: \odot \: A \: number \: is \: 27 \: more \: than \\ \bf the \: number \: obtained \: by \: reversing \: its \: digits. \\ \bf \odot \: Its \: unit's \: and \: ten's \: digit \: are \\ \bf x \: and \: y \: respectively. \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

TO FIND :

$\bf \odot \: The \: linear \: equation \: representing \: the \\ \bf above \: statement.$

SOLUTION :

We know that,

Unit's digit is x.

And, Ten's digit is y.

HENCE,

The no. will be :

10y + x ......(i)

And,

After reversing the digits it becomes :

10x + y ....(ii)

THEREAFTER,

• Its is being told that after reversing the digits the difference between the new term and the previous term is 27.

NOW,

According to the question,

$\bf \implies \:( 10y + x) - (10x - y) = 27 \\ \bf \implies \: 9x \: - 9y \: = 27 \\ \bf \implies \: 9(x - y) = 27 \\ \bf \implies \: (x - y) = \frac{ \cancel{27}}{ \cancel9} \\ \bf \therefore \: x - y = 3$

FINALLY,

x - y = 3 is the correct statement for representing the above statement.

NOTE :

READ IT CAREFULLY