Class 10MathematicsPair of Linear Equations in Two VariablesMix Examples - Pair of Linear Equations in Two Variables
MediumIf the sum and the difference of the digit at the ten's place and the digit at the unit's place of a two-digit number are the same,then the digit at the unit's place is ...........
- A$1$
- B$-1$
- C$0$
- D$2$
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Similar Questions
Obtain the solution of the following pair of equations by elimination method:
$\frac{11}{y} - \frac{7}{x} = 1, \, \frac{9}{y} - \frac{4}{x} = 6$; $x \neq 0, \, y \neq 0$
$\frac{11}{y} - \frac{7}{x} = 1, \, \frac{9}{y} - \frac{4}{x} = 6$; $x \neq 0, \, y \neq 0$
Medium
View SolutionThe pair of equations $y=0$ and $y=-7$ has
Medium
View SolutionSolve the following pair of linear equations:
$21x + 47y = 110$
$47x + 21y = 162$
$21x + 47y = 110$
$47x + 21y = 162$
Medium
View SolutionWhich of the following groups truly matches the data of Part $I$ with the data of Part $II$?
Part $I$ Part $II$ $1.$ The solution of $2x - y = 4$ and $3x - 2y = 5$ $a.$ $x = 3, y = 2$ $2.$ The solution of $5x - y = 14$ and $4x - 3y = 9$ $b.$ $x = 3, y = 1$ $3.$ The solution of $4x - 3y = 5$ and $3x - y = 5$ $c.$ $x = 2, y = 1$ $4.$ The solution of $3x - 2y = -1$ and $2x - 5y = -8$ $d.$ $x = 1, y = 2$
| Part $I$ | Part $II$ |
| $1.$ The solution of $2x - y = 4$ and $3x - 2y = 5$ | $a.$ $x = 3, y = 2$ |
| $2.$ The solution of $5x - y = 14$ and $4x - 3y = 9$ | $b.$ $x = 3, y = 1$ |
| $3.$ The solution of $4x - 3y = 5$ and $3x - y = 5$ | $c.$ $x = 2, y = 1$ |
| $4.$ The solution of $3x - 2y = -1$ and $2x - 5y = -8$ | $d.$ $x = 1, y = 2$ |
Medium
View SolutionThe sum of the digits of a two-digit number is $6$. The number obtained by interchanging the digits is $18$ less than the original number. Find the original number.
Difficult
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