Two number are in the ratio 2 : 3. If 2 is subracted from the first and 2 is added to the second, the ratio becomes 1 : 2. The sum of the number is:
Answer & explanation
Correct answer: option 1
Let the numbers are = 2R & 3R
ATQ,
\(\frac{2R\;-\;2}{3R\;+\;2}\) = \(\frac{1}{2}\)
⇒ 4R - 4 = 3R + 2
⇒ 1R = 6
Hence,
Sum of numbers = 2R + 3R = 5R = 5 × 6 = 30