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  • The sum of two numbers is 1000 and the difference between their squares is 256000.Find the number.

The sum of two numbers is 1000 and the difference between their squares is 256000.Find the number.

Answers (1)

Assume two numbers are a and b.

a+b=1000...(1)

a2-b2 = 256000 

(a-b)(a+b) = 256000 ...(2)

Put value of a+b in the equation (2)

a-b=256 ...(3)

Equation (1) + Equation (3)

2a = 1256

a = 628

b = 628-256

b= 372

Therefore two numbers are 628 and 372.

 

Posted by

Ravindra Pindel

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