Two numbers are in the ratio 2 : 3. If 5 is subtracted from the first number and six is added to the second number, then the ratio becomes 5 : 12. What would the ratio become when eight is added to each number?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 14 : 19
Let the two numbers be 2a and 3a.
Now according to the question,
(2a - 5)/(3a + 6) = 5 : 12
24a - 60 = 15a + 30
9a = 90
a = 10
Required number become, 20 and 30
Required ratio = (20 + 8) : (30 + 8)
= 28 : 38
= 14 : 19.