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Sum of the square of two numbers is 625. While the difference between these two numbers is 17. Find the sum of two numbers .
1. 31
2. 17.5
3. 16.25
4. 24.25

1 Answer

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Best answer
Correct Answer - Option 1 : 31

Given

sum of the square of numbers = 625

difference between two number = 17

Formula​\ Concept used

(a + b)2 = a2 + b2 + 2ab

A.M of two numbers = (a + b)/2

Calculation

Let two numbers be x and y respectively.

So, x2 + y2 = 625      ----(1)

and x - y = 17 

⇒ (x - y)2 = 172

⇒ x2 + y2 - 2xy = 289

from (1) 

⇒ 625 - 2xy = 289

⇒ xy = 168      ----(2)

As we know, 

x2 + y2 + 2xy = (x + y)2

from (1) and (2)

(x + y)2 = 961

⇒ x + y = 31

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