Question

the sum of two numbers is 50 and their difference is 26 what will be the product of the number​

Answer 1

x+y=50,x-y=26 then

x+y+x-y=76

x=38

y=12

then x×y=38×12

=456

Answer 2

Answer:

456

Given:

⇒ Sum of two numbers is 50.

⇒ Difference of the numbers is 26.

Assumptions:

⇒ x + y = 50

⇒ x - y = 26

To find:

⇒ Value of xy.

Concept used:

(a + b)² - (a - b)² = 4ab

Step-by-step explanation:

⇒ Subtract the square of 'x - y 26' from the square of 'x+ y = 50'.

⇒ Divide the difference thus obtained by 4.

⇒ Thus the answer is 456.

Method:

⇒ (x + y)² - (x - y)² = 50² - 26²

⇒ 4xy = 2500 - 676

⇒ 4xy = 1824

⇒ xy = 1824 / 4

⇒ xy = 456