(A) Let the larger number be $x$ and the smaller number be $y$.According to the first condition,$x = y + 3$ or $x - y = 3$ (Equation $1$).According to

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(A) Let the larger number be $x$ and the smaller number be $y$.According to the first condition,$x = y + 3$ or $x - y = 3$ (Equation $1$).According to the second condition,$2x + 17 = 3y$ or $2x - 3y = -17$ (Equation $2$).Substitute $x = y + 3$ into Equation $2$:$2(y + 3) - 3y = -17$$2y + 6 - 3y = -17$$-y + 6 = -17$$-y = -23$$y = 23$.Now,find $x$ using $x = y + 3$:$x = 23 + 3 = 26$.Therefore,the numbers are $26$ and $23$.

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

Medium

$A$ number is $3$ less than another number. By adding $17$ to twice the larger number,it becomes thrice the smaller number. Find these numbers.

A
$26, 23$
B
$62, 20$
C
$20, 27$
D
$29, 21$

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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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$A$ number is $3$ less than another number. By adding $17$ to twice the larger number,it becomes thrice the smaller number. Find these numbers.

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The pair of equations $5x - 15y = 8$ and $3x - 9y = \frac{24}{5}$ has

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