(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

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(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 $114$.

Competitive Quantitative Aptitude Number system Numbers

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

A
$104$
B
$114$
C
$315$
D
$325$

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Sum of three numbers is $132$. The first number is twice the second,and the third number is one-third of the first. Find the second number.

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What least number must be added to $7231$ so that the resulting number is exactly divisible by $5$ and $9$ together?

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What is the arithmetic mean of first $20$ odd natural numbers?

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$149.9 \%$ of $149.9 + 149.9 = ?$

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Find a number nearest to $9231$ which is exactly divisible by $3$ as well as by $11.$

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

Similar Questions

Sum of three numbers is $132$. The first number is twice the second,and the third number is one-third of the first. Find the second number.

What least number must be added to $7231$ so that the resulting number is exactly divisible by $5$ and $9$ together?

What is the arithmetic mean of first $20$ odd natural numbers?

$149.9 \%$ of $149.9 + 149.9 = ?$

Find a number nearest to $9231$ which is exactly divisible by $3$ as well as by $11.$

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