Two numbers are in the ratio 3 : 8. If 8 is added to each number, then the ratio becomes 1 : 2. If 4 is subtracted from each number, then the ratio will become:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 2 : 7.
Calculations:
Let the two numbers be 3x and 8x.
When 8 is added to each number, the ratio becomes 1 ∶ 2.
⇒ (3x + 8)/(8x + 8) = 1/2
⇒ 6x + 16 = 8x + 8
⇒ 2x = 8
⇒ x = 4
⇒ 3x = 3(4) = 12
⇒ 8x = 8(4) = 32
If 4 is subtracted from each number,
The required ratio = (12 - 4)/(32 - 4) = 8/28 = 2/7