Question

The sum of two positive numbers is 63. If one number x is double the other, then the equation is
1. \(\dfrac{x}{x-63}=2\)
2. \(\dfrac{63-x}{x}=2\)
3. \(\dfrac{x-63}{x}=2\)
4. \(\dfrac{x}{63-x}=2\)

Answer 1

Correct Answer - Option 4 : \(\dfrac{x}{63-x}=2\)

Given:

Sum of two positive numbers = 63

One number = 2 × Other number

Calculations:

Let the number be x

2 × Other number = x

⇒ Other number = x/2

Sum of the numbers = x + (x/2)

⇒ x + (x/2) = 63

⇒ x/2 = 63 - x

⇒ 2/x = 1/(63 - x)

⇒ 2 = x/(63 - x)

∴ The equation is \(\dfrac{x}{63-x}=2\)