Question

the product of two numbers is 24 their sum is 14 find the numbers​

Answer 1

Answer:

let the two numbers be x and y

now we know that

$xy = 24 \\ x + y = 14$

from xy=24

we get. x=24/y.

$\frac{24}{y} + y = 14 \\ \frac{24 + {y}^{2} }{y} = 14 \\ {y}^{2} - 14y + 24 = 0$

now do factorisation

${y}^{2} - 12y - 2y + 24 = 0 \\ y(y - 12) - 2(y - 12) = 0 \\ (y - 2)(y - 12) = 0 \\ y = 2 \: or \: 12$

so the is x=2 y=12 or vice versa

I hope it helps you

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