Question

$\text{If x = y and y = 8, then find the value of}2x+\frac{x}{2}\text{using Euclid's axioms.}$

• A. 20

Answer 1

The correct option is A 20
According to Euclid's axioms,

• Things that are double of the same things are equal to one another.

$\text{i.e, If x = y, then}2x=2y$
$\therefore 2x=2y=2\times 8=16$

According to Euclid's axioms,

• Things that are halves of the same things are equal to one another.

$\text{i.e, If x = y, then}\frac{x}{2}=\frac{y}{2}$
$\therefore \frac{x}{2}=\frac{y}{2}=\frac{8}{2}=4$

$\text{So,}2x+\frac{x}{2}=16+4=20$