Question

the product of5% of a positive number and 3% of the same number is 504.6 what is half of that number ​

Answer 1

Answer:

290

Step-by-step explanation:

let this number be denoted by $x$

then;

5% of x is $\frac{5}{100}*x=0.05x$

also;

3% of x is $\frac{3}{100}*x=0.03x$

their product becomes;

$0.05x*0.03x=504.6\\0.0015x^{2} =504.6\\x^{2} =\frac{504.6}{0.0015}\\ x^{2} =336400$

Taking square-root on both sides we get

$\sqrt{x^{2} } =\sqrt{336400} \\x=580 \\x=-580$

However, x is a positive number;

x=580

Half of this number is

$0.5*580=290$