Two numbers are respectively 35 and 80 more tha... - JAMB Mathematics 2023 Question

Let's denote the third number as \(x\).

The first number is 35% more than the third number, which means it is \(x + 0.35x = 1.35x\).

The second number is 80% more than the third number, which means it is \(x + 0.80x = 1.80x\).

Now, the ratio of the two numbers is \(\frac{1.35x}{1.80x}\).

To simplify the ratio, we can divide both terms by \(0.45x\):

\[
\frac{1.35x}{1.80x} = \frac{1.35}{1.80} = \frac{135}{180} = \frac{27}{36} = \frac{3}{4}
\]

So, the correct ratio is \(3 : 4\)