Two numbers are in the ratio of 3 : 7. If 11 is subtracted from each, the ratio between the numbers becomes 7 : 20. Find the smaller number.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 39.
Calculations:
Let the two numbers be 3x and 7x.
According to the question;
⇒ (3x - 11)/(7x - 11) = 7/20
⇒ 60x - 220 = 49x - 77
⇒ 11x = 143
⇒ x = 13
Hence, smaller number = 3x = 39