CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If the sum of two numbers is 1000 and the difference of their squares is 256000, then find the numbers.
 


  1. 628, 372
  2. 562, 438
  3. 125, 875
  4. None of these


Solution

The correct option is A 628, 372

Let the two numbers be x and y

x+y=1000   ....(1)

x2y2=256000

(x+y)(xy)=256000.....(2)

xy=256 .....(3) [Substituting x+y=1000 ]

Adding (1) and (3) we get,

2x=1256x=628

Substituting x=628 in (1)

628+y=1000y=372
 

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...



footer-image