The sum of two numbers is 25 and their differ | vedclass

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Question

(B) Let the two numbers be $x$ and $y$.Given that $x + y = 25$ and $x - y = 13$.We know the algebraic identity $(x + y)^2 - (x - y)^2 = 4xy$.Substitut

Vedclass · Accepted Answer

$114$

Vedclass · Answer

(B) Let the two numbers be $x$ and $y$.Given that $x + y = 25$ and $x - y = 13$.We know the algebraic identity $(x + y)^2 - (x - y)^2 = 4xy$.Substituting the given values into the identity:$(25)^2 - (13)^2 = 4xy$$625 - 169 = 4xy$$456 = 4xy$$xy = \frac{456}{4}$$xy = 114$Therefore,the product of the two numbers is $114$.

The sum of two numbers is $25$ and their difference is $13$. Find their product.

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