Question : 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?
Option 1: 11 : 6
Option 2: 12 : 7
Option 3: 9 : 5
Option 4: 10 : 7

Question

Question : 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?

Option 1: 11 : 6

Option 2: 12 : 7

Option 3: 9 : 5

Option 4: 10 : 7

Team Careers360 · Accepted Answer

Correct Answer: 12 : 7

Solution : Let the two numbers be x and y.
Then, according to the question
3$y$ – $x$ = $\frac{3}{4}$ $x$
We need to find the ratio of the first number to the second number i.e. $x$ : $y$
Simplifying the equation:
3$y$ – $x$ = $\frac{3}{4}$ $x$
⇒ 12$y$ - 4$x$ = 3$x$
⇒ 12$y$ = 7$x$
⇒ $y$ = $\frac{7 ext{x}}{12}$
So, $\frac{ ext{x}}{ ext{y}} = \frac{12}{7}$
Therefore, the required ratio is 12 : 7.
Hence, the correct answer is 12 : 7.

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Question : A number, when subtracted from 3 times the second number, gives a result equal to 34 of the first number. What is the ratio of the first number to the second number?Option 1: 11 : 6Option 2: 12 : 7Option 3: 9 : 5Option 4: 10 : 7

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Question : 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?
Option 1: 11 : 6
Option 2: 12 : 7
Option 3: 9 : 5
Option 4: 10 : 7