Question

The sum of two numbers is 100 , and the difference between their squares is 1000 . What are the two numbers?

Answer 1

Answer:

suppose the two numbers are a and b

Step-by-step explanation:

 then, a+b = 100 .......(i)

a^2 - b^2=1000

Formula is: a^ 2- b^2= (a+b)(a-b)

1000=100*(a-b)

(a-b)=10 ......(ii)

solving equation (i) and (ii),we got

. a= 55 and b= 45 Ans.