If the sum of two numbers is 33 and their dif | vedclass

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Question

(A) Let the two numbers be $x$ and $y$,where $x > y$.According to the problem:$x + y = 33$  --- $(1)$$x - y = 15$  --- $(2)$Subtracting equation $(2)$

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(A) Let the two numbers be $x$ and $y$,where $x > y$.According to the problem:$x + y = 33$  --- $(1)$$x - y = 15$  --- $(2)$Subtracting equation $(2)$ from equation $(1)$:$(x + y) - (x - y) = 33 - 15$$2y = 18$$y = 9$Substituting $y = 9$ into equation $(1)$:$x + 9 = 33$$x = 33 - 9 = 24$The two numbers are $24$ and $9$. The smaller number is $9$.

If the sum of two numbers is $33$ and their difference is $15,$ the smaller number is

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