The sum of two numbers is 100 and their diffe | vedclass

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(D) Let the two numbers be $a$ and $b$.Given that the sum of the numbers is $a + b = 100$.Given that the difference of the numbers is $a - b = 37$.We

Vedclass · Accepted Answer

$3700$

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(D) Let the two numbers be $a$ and $b$.Given that the sum of the numbers is $a + b = 100$.Given that the difference of the numbers is $a - b = 37$.We need to find the difference of their squares,which is $a^2 - b^2$.Using the algebraic identity $a^2 - b^2 = (a + b)(a - b)$,Substitute the given values: $a^2 - b^2 = 100 	imes 37$.Therefore,$a^2 - b^2 = 3700$.

The sum of two numbers is $100$ and their difference is $37$. The difference of their squares is

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