The ratio of two numbers is 5 : 9. If 6 is added to the greater number and 6 is subtracted from the smaller number, then greater number becomes 6 times the smaller number. What are the numbers?
Answer & explanation
Correct answer: option 2
The numbers be x : y
x : y
5 : 9
-6 +6
________
1 : 6
Using cross - multiplication method,
$\frac{5R - 6}{9R+6} = \frac{1}{6}$
30R - 9R = 6 + 36
21R = 42
R = 2
Therefore, the numbers are 10, 18