# What are Two Numbers? If

The average of two numbers is 7.5. The product of the two numbers square-root is 6. Two numbers are

- 13 and 2
- 9 and 6
- 10 and 5
- 12 and 3

**Answer: (4) 12 and 3
Explanation:-**

The average of two numbers = 7.5

Therefore, the sum of two numbers = 2 x 7.5 = 15

Let be the first number is X

then, second number = 15 – X

According to the question,

X(15 – X) = 6^{2}

15X – X^{2 } = 36

X^{2} -15X + 36 = 0

X^{2} – 12X – 3X + 36 = 0

X(X – 12) – 3(X – 12) = 0

(X – 3)(X -12) = 0

X = 3,12

Thus, the numbers are 12 and 3

Hence, the answer is (4) 12 and 3.