Question

Product of two numbers is 12 the sum of their squares is 25 The sum of the two numbers is

Answer 1

Answer:

$3 \: and \: 4$

Answer 2

The sum of the two numbers is equal to 7.

Let the two numbers be a and b respectively.

Given the product of the two numbers = 12

=> ab = 12

The sum of the square of the numbers = 25

=> a²+b² = 25

Using the equation -

(a + b)² = a² + b² + 2ab

=> (a+b)² = 25 + 2 × 12

=> (a+b)² = 49

=> (a+b) = 7

The sum of the two numbers will be equal to 7 and the two numbers will be 3 , 4.