Question

22. Find the two numbers whose sum is 34 and product

Is 280​

Answer 1

Step-by-step explanation:

Let one of the number be x

Sum of two numbers = 34

Hence,

the other number = (34-x)

Product of the two numbers = 280

x (34 - x) = 280

34 x - x^2 = 280

-x^2 + 34 x = 280

Multiplying throughout by ( -1 )

x^2 - 34 x = - 280

x^2 - 34 x + 280 = 0

x^2 - 14 x - 20 x + 280 = 0

x ( x - 14 ) - 20 ( x - 14 ) = 0

( x - 14 ) ( x - 20 ) = 0

( x - 14 ) = 0 or ( x - 20 ) = 0

x = 14 or x = 20

If one number is 14, then the other number will be ( 34 - 14 ) = 20

If one number is 20, the the other number will be ( 34 - 20 ) = 14

The two numbers are 14 and 20.

Answer 2

Answer:

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