A number, when subtracted from 3 times the second number, gives a result equal to $\frac{3}{4}$ of the first number. What is the ratio of the first number to the second number?
Answer & explanation
Correct answer: option 2
First number = A
Second number = B
⇒ 3B - A = \(\frac{3}{4}\)A
⇒ 3B = \(\frac{3}{4}\)A + A
⇒ 3B = \(\frac{7}{4}\)A
⇒ 12B = 7A
⇒ A : B = 12 : 7.