Question

The product of 5% of a positive number and 3% of the same number is 504.6.what is half of that number?

Answer 1

Let the Number be x,



According to the question,


( 5% of x) × ( 3% of x) = 504.6

$(\frac{5}{100} \times x) \times ( \frac{3}{100} \times x) = 504.6 \\ \\ \frac{5x}{100} \times \frac{3x}{100} = 504.6 \\ \\ \\ \frac{15 {x}^{2} }{10000} = 504.6 \\ \\ {x}^{2} = \frac{504.6 \times 10000}{15} \\ \\ \\ {x}^{2} = 336400 \\ \\ \\ x = ( + - ) \sqrt{336400} \\ \\ x = ( + - )580$


Given that the number is positive number, so

x = 580



Required number is 580




I hope this will help you

Answer 2

Answer:

Step-by-step explanation:

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Secondary School Math 15+8 pts

The product of 5% of a positive number and 3% of the same number is 504.6.what is half of that number?

Report by Namo194 14.06.2018

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abhi569

Abhi569Maths AryaBhatta

Let the Number be x,

According to the question,

( 5% of x) × ( 3% of x) = 504.6

(\frac{5}{100} \times x) \times ( \frac{3}{100} \times x) = 504.6 \\ \\ \frac{5x}{100} \times \frac{3x}{100} = 504.6 \\ \\ \\ \frac{15 {x}^{2} }{10000} = 504.6 \\ \\ {x}^{2} = \frac{504.6 \times 10000}{15} \\ \\ \\ {x}^{2} = 336400 \\ \\ \\ x = ( + - ) \sqrt{336400} \\ \\ x = ( + - )580

Given that the number is positive number, so

x = 580

But we want half of that number so

580/2 =290

Required number is 290