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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

$3700$

Vedclass · Answer

(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

Similar Questions

$36 + 451 \div 11$

$9229.789 - 5021.832 + 1496.989 = ?$

If $x[-2\{-4(-a)\}]+5[-2\{-2(-a)\}]=4 a,$ then $x=$

The difference between a two-digit number and the number obtained by interchanging the digits is $36$. What is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is $1:2$?

In a division sum,the quotient is $120$,the divisor is $456$,and the remainder is $333$. Find the dividend.

Vedclass Test Series

Exam Paper Generator

Online Exam Module