The product of two numbers is 0.04 and one is \(\displaystyle\frac{1}{4}\) of the other. Find the numbers.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 0.4 and 0.1
Write the smaller number in terms of the larger one, so the product gives an equation in one unknown. Let the larger number be \(x\); the smaller is then \(\frac{x}{4}\).
Product: \(\displaystyle x\times\frac{x}{4}=0.04\)
\(x^{2}=0.16\)
\(x=0.4\), and the smaller number \(=0.4\div4=0.1\)
The numbers are 0.4 and 0.1.