Question

Find two numbers whose sum is 29 and the product is 100.

A) 20, 5 B) 20, 9 C) 25, 4 D) 10, 10

Answer 1

Answer:

Option c

Step-by-step explanation:

Let two numbers be x and y

x+y=29

xy=100

(x+y)²=x²+y²+2xy

29² = x²+y²+2(100)

841=x²+y²+200

x²+y²=641

(x-y)²=x²+y²-2xy

(x-y)²=641-200

(x-y)²=441

x-y = 21........(1)

x+y=29......(2)

Add (1) and (2)

2x=50

x=25

x+y=29

25+y=29

y=4

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