Question

if sum of two number is 22 and the product of their

Answer 1

Answer:

$\boxed{OPTION\:\:A}$

Step-by-step explanation:

Let the numbers be x and y.

Given,

$x+y=22$

Squaring both sides we get:

$(x+y)^2=22^2$

$(x+y)(x+y)=484$

$\implies x(x+y)+y(x+y)=484$

$\implies x^2+xy+xy+y^2=484$

$\implies x^2+y^2+2xy=484$

Given ,

$x^2+y^2=404$

$\implies 404+2xy=484$

$\implies 2xy=484-404$

$\implies 2xy=80$

$\implies xy=\frac{80}{2}$

$\implies 40.$

Your answer is Option A------ 40

Hope it helps you :-)

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