Question

product of two number is 45 and teir sum is 14 find the number​

Answer 1

Answer:

9 and 5

9 *5 = and 9 + 5 =14

hope u got it

Answer 2

Answer:

The required two numbers are 9 and 5.

Step-by-step explanation:

Given :

• The product of two numbers is 45

• The sum of the two numbers is 14

To find :

the numbers

Solution :

Let the two numbers be 'a' and 'b'

Sum of the two numbers = 14 :

a + b = 14

a = 14 - b

Product of two numbers = 45 :

a × b = 45

ab = 45

(14 - b) (b) = 45

14b - b² = 45

b² - 14b + 45 = 0

Solving the quadratic equation by factorization :

b² - 14b + 45 = 0

b² - 9b - 5b + 45 = 0

b(b - 9) - 5(b - 9) = 0

 (b - 9) (b - 5) = 0

⇒ b - 9 = 0 ; b = 9

⇒ b - 5 = 0 ; b = 5

The two numbers are 9 and 5.

Verification :

The product of the numbers = 45

9 × 5 = 45

 45 = 45

 LHS = RHS

The sum of two numbers = 14

 9 + 5 = 14

 14 = 14

 LHS = RHS

Hence verified!