Question

The difference between two numbers is 14 and the difference between their squares is 448, then
find the numbers.​

Answer 1

Answer:

23 and 37

Step-by-step explanation:

let one no be x and the other be y

x-y=14 (assuming x is greater)

x^2 - y^2 = 448

we know that x^2 - y^2= (x+y)(x-y)

hence,

(x+y)(x-y)=448

14(x+y)= 448 ( as x-y=14)

x+y= 448÷14

x+y= 32

adding x+y and x-y

(x+y)-(x-y)= 32+14

2y=46

y=23

x-y=14

ie, x-23=14

x=37

Answer 2

Step-by-step explanation:

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