Question

divide 41 into two numbers such that the sum of the squares of the two numbers is equal to 881

Answer 1

Answer:

25, 16

Step-by-step explanation:

Let the two numbers be x and y

x+y = 41

squaring both sides

(x+y)² = 41²

x² + y² + 2xy = 1681. (1)

also it is given that x² + y² = 881

putting this value in (1)

881 + 2xy = 1681

xy = 400

now

(x-y)² = x²+y²-2xy = 881 - 2×400 = 81

x-y = 9

x+y = 41

Add

2x = 50

x = 25

y = 25-9 = 16