The ratio of two numbers is 3 : 5. If eight is added to the first, and seven to the second, then the ratio becomes 2 : 3. What will be the ratio become if six is added to each?
Answer & explanation
Correct answer: option 4
3 : 5
2 : 3
________
+8 +7
⇒ $\frac{3R+8}{5R+7} = \frac{2}{3}$
Using the cross - multiplication method,
10R - 9R = (8 x 3) - (7 x 2)
⇒ R = 10
The numbers = 3 x 10, 5 x 10 = 30, 50
When 6 is added = 36 : 56 = 9 : 14