In the difference between the two numbers is 20 percent of their sum, then what is the ratio of larger number and smaller number ?
Answer & explanation
Correct answer: option 4
Let the numbers be a, b (a > b)
Then, difference of the numbers i.e. a - b = 20% of (a + b)
a - b = \(\frac{1}{5}\) (a + b)
\(\frac{a-b}{a+b}\) = \(\frac{1}{5}\)
Using componendo and dividendo
\(\frac{2a}{2b}\) = \(\frac{6}{4}\)
a = 3, b = 2
Ratio = 3 : 2