Question

the difference of two number is 14 and the difference in their square is 448 Find the number
[hint(x-y) 2 =(x+y) 2-4xy]​

Answer 1

Answer:

x=23 y=9

Step-by-step explanation:

let numbers be x and y

x - y = 14 _______ (1 )

x² - y² = 448

as we know that , ( x²-y²) =( x+y) (x - y)

448 = (x+y) × 14 { x-y =14}

448 / 14 = x + y

x + y = 32--------(2)

Solving equation (1) and (2) by simply adding , we get

x - y = 14

x + y = 32

2x = 46 ⇒x = 23

putting value of x in equation (2) , we get

23 + y = 32

y = 32 -23

y = 9