Question

The product of two numbers is 91 and their arithmetic mean is 10, then the two numbers are

• A. 10, 10
• B. 12, 8
• C. 13, 7
• D. 14, 6

Answer 1

The Correct Option is C

Correct answer: 13, 7

Explanation:
Let the two numbers be \( x \) and \( y \). 
Given: 
Arithmetic mean = 10: \[ \frac{x + y}{2} = 10 \Rightarrow x + y = 20 \] Product = 91: \[ xy = 91 \] Now, try pairs that add to 20 and multiply to 91. 
\( 13 + 7 = 20 \) and \( 13 \times 7 = 91 \)

Hence, the two numbers are 13 and 7.