Question

Sum of two numbers is38 and its product is 306 find numbers

Answer 1

There is a problem in your question:-The sum of the two numbers should be 35.

Let the two numbers be x and y.

According to the question,

»x+y=35------(1)

and also,

»x×y=306
»y=306/x------(2)

Putting the value of equation (2) in equation(1) we get,

»x+306/x=35
»x²+306/x=35
»x²+306=35x
»x²-35x+306=0
»x²-(17+18)x+306=0
»x²-17x-18x+306=0
»x(x-17)-18(x-17)=0
»(x-17) (x-18)=0

Either, Or,
»x-17=0. »x-18=0
»x=17. »x=18

When x =17

(1)»17+y=35
»y=35-18
»y=18

When x=18

(1)»18+y=35
»y=35-18
»y =17

Hope this answer helps you mate.

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Thank you.