Question

The sum of two numbers is 59 and their product is 840. Find the sum of their squares.

• A. 2961
• B. 1801
• C. 1875
• D. 1754

Answer 1

Answer:

B. 1801

Solution:

Given: 

The sum of two number = 59 

Product of two number = 840 

Formula Used: 

(a + b)² = a² + 2ab + b²

Calculation: 

Let the two number be x and y respectively

Accordingly, 

(x + y) = 59 and xy = 840

Now,  

(x + y)² = x² + y² + 2xy 

⇒ 59² = x² + y² + 2(840)

⇒ x² + y² = 3481 - 1680 = 1801

∴ The sum of their squares is 1801