(A) Let the length of the rectangle be $x$ and the width be $y$.According to the problem,the length is $3$ less than twice the width,so $x = 2y - 3$,w

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(A) Let the length of the rectangle be $x$ and the width be $y$.According to the problem,the length is $3$ less than twice the width,so $x = 2y - 3$,which can be written as $x - 2y + 3 = 0$.The perimeter of a rectangle is given by $2(x + y) = 100$.Dividing both sides by $2$,we get $x + y = 50$.Thus,the pair of linear equations is $x - 2y + 3 = 0$ and $x + y = 50$.

Class 10 Mathematics Pair of Linear Equations in Two Variables Mix Examples - Pair of Linear Equations in Two Variables

Medium

In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

A
$x - 2y + 3 = 0, x + y = 50$
B
$x - 2y - 3 = 0, x + y = 50$
C
$x + 2y - 3 = 0, x + y = 100$
D
$x - 2y + 3 = 0, x + y = 100$

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Pair of Linear Equations in Two Variables

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Mix Examples - Pair of Linear Equations in Two Variables

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In a rectangle,the length is $3$ less than twice its width. The perimeter of the rectangle is $100$. Represent this situation as a pair of linear equations in two variables.

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The sum of the digits of a two-digit number is $9$. If $27$ is added to it,the digits of the number get reversed. The number is

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In a two-digit number, the digit at the unit's place is $(2x - 1)$ and the digit at the ten's place is $(2x + 1)$. Then, that number is:

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