Question

The sum of two numbers is 1000 and the difference between their squares is 25600, then find the
numbers.​

Answer 1

Step-by-step explanation:

Let a number be x

then other number =1000-x

According to question :

(1000-x)²-x²=25600

(1000-x+x)(1000-x-x)=25600

1000(1000-2x)=25600

10(1000-2x)=256

10000-20x=256

20x=10000-256

20x=9744

x=9744/20=487.2

The two numbers are :

x=487.2 and 1000-x=512.8

Answer 2

plz refer to this attachment