If the sum of two numbers is multiplied by ea | vedclass

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(A) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $(x + y)$.Multiplying the sum by each number separately,we g

Vedclass · Accepted Answer

$19$

Vedclass · Answer

(A) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $(x + y)$.Multiplying the sum by each number separately,we get:$x(x + y) = 247$ $...(1)$$y(x + y) = 114$ $...(2)$Adding equation $(1)$ and equation $(2)$:$x(x + y) + y(x + y) = 247 + 114$$(x + y)(x + y) = 361$$(x + y)^2 = 361$Taking the square root on both sides:$x + y = \sqrt{361} = 19$Thus,the sum of the numbers is $19$.

If the sum of two numbers is multiplied by each number separately,the products so obtained are $247$ and $114$. The sum of the numbers is

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