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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

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$26, 23$

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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 $23$.

$A$ 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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