Two numbers are in the ratio of 5 : 7. If 6 be added to each, the ratio becomes 3 : 4. Find the numbers.
Answer & explanation
Correct answer: option 1
5 : 7
3 : 4
_________
+6 +6
ATQ,
\(\frac{5R\;+\;6}{7R\;+\;6}\) = \(\frac{3}{4}\)
Using cross - multiplication,
21R - 20R = 6 x 4 - 6 x 3
⇒ 1R = 6
Therefore, the numbers are 6 x 5, 6 x 7 = 30, 42