Question

The sum of two numbers is 2000 and differences of their square is 512000find the greatest number

Answer 1

HELLO DEAR,

let the greater no. Be x & smaller be y.

According to questions,

X + y = 2000-------------- ( 1 )

X² - y² = 512000

⇒(x + y)(x - y) = 512000
∴ [ (a² - b²) = (a + b)(a - b) ]

⇒(2000)(x - y) = 512000
∴ [ from-----( 1 ) ]

⇒x - y = 512000/2000

⇒x - y = 256------- ( 2 )

From------( 1 ) & ------( 2 )

X + y = 2000
X - y = 256
-------------------
2x = 2256

X = 2256/2

X = 1128 [ put in --- ( 2 ) ]

X - y = 256

⇒y = x - 256

⇒y = 1128 - 256

⇒y = 872

I HOPE ITS HELP YOU DEAR,
THANKS