(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

Medium

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

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The least prime number is

If the sum of one-half and one-fifth of a number exceeds one-third of that number by $7 \frac{1}{3},$ the number is

$9999 + 8888 + 777 + ? = 19700$

How many numbers are there between $1$ and $200$ which are divisible by $3$ but not by $7$?

$A$ number,when divided by $296$,gives $75$ as the remainder. If the same number is divided by $37$,then the remainder will be:

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