Defence Exam > Defence Questions > The ratio between two numbers is 3 : 4. If ea...
Start Learning for Free
The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers is
- a)1
- b)3
- c)6
- d)8
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
The ratio between two numbers is 3 : 4. If each number is increased by...
Let the number are 3x and 4x.
3x+64 / 4x+65 = 4/5
15x + 30 = 16 x + 24
15x + 30 = 16 x + 24
x = 6
Number are 18 and 24.
Hence, required difference is 6.
Hence, required difference is 6.
Most Upvoted Answer
The ratio between two numbers is 3 : 4. If each number is increased by...
Sol:- Given x:y = 3:4. =>x/y=3/4;
x=3y/4. =>. eq(1);
and (x+6)/(y+6) = 4/5 =>. eq(2)
substitute eq(1) in eq(2);
then we get y=24 and x =18;
Finally difference between two numbers is 24-18 =6;
x=3y/4. =>. eq(1);
and (x+6)/(y+6) = 4/5 =>. eq(2)
substitute eq(1) in eq(2);
then we get y=24 and x =18;
Finally difference between two numbers is 24-18 =6;
Free Test
FREE
| Start Free Test |
Community Answer
The ratio between two numbers is 3 : 4. If each number is increased by...
Given information:
The ratio between two numbers is 3:4.
If each number is increased by 6, the ratio becomes 4:5.
Let's assume the two numbers to be 3x and 4x, where x is a common factor between them.
Finding the ratio before the increase:
The ratio of the two numbers is given as 3:4.
Therefore, we can write the equation as:
3x : 4x
Finding the ratio after the increase:
If each number is increased by 6, the new numbers will be:
3x + 6 and 4x + 6
The ratio of the new numbers is given as 4:5.
Therefore, we can write the equation as:
(3x + 6) : (4x + 6)
Equating the ratios:
We can equate the two ratios to find the value of x.
(3x + 6) : (4x + 6) = 4 : 5
Cross-multiplying:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
Simplifying the equation:
Bringing like terms together:
15x - 16x = 24 - 30
-x = -6
Dividing by -1:
x = 6
Finding the numbers:
Using the value of x, we can find the numbers:
First number = 3x = 3(6) = 18
Second number = 4x = 4(6) = 24
Finding the difference between the numbers:
Difference = Second number - First number = 24 - 18 = 6
Therefore, the difference between the numbers is 6. Hence, the correct answer is option 'C'.
The ratio between two numbers is 3:4.
If each number is increased by 6, the ratio becomes 4:5.
Let's assume the two numbers to be 3x and 4x, where x is a common factor between them.
Finding the ratio before the increase:
The ratio of the two numbers is given as 3:4.
Therefore, we can write the equation as:
3x : 4x
Finding the ratio after the increase:
If each number is increased by 6, the new numbers will be:
3x + 6 and 4x + 6
The ratio of the new numbers is given as 4:5.
Therefore, we can write the equation as:
(3x + 6) : (4x + 6)
Equating the ratios:
We can equate the two ratios to find the value of x.
(3x + 6) : (4x + 6) = 4 : 5
Cross-multiplying:
5(3x + 6) = 4(4x + 6)
15x + 30 = 16x + 24
Simplifying the equation:
Bringing like terms together:
15x - 16x = 24 - 30
-x = -6
Dividing by -1:
x = 6
Finding the numbers:
Using the value of x, we can find the numbers:
First number = 3x = 3(6) = 18
Second number = 4x = 4(6) = 24
Finding the difference between the numbers:
Difference = Second number - First number = 24 - 18 = 6
Therefore, the difference between the numbers is 6. Hence, the correct answer is option 'C'.
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer?
Question Description
The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer?.
The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer?.
Solutions for The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Defence.
Download more important topics, notes, lectures and mock test series for Defence Exam by signing up for free.
Here you can find the meaning of The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer?, a detailed solution for The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The ratio between two numbers is 3 : 4. If each number is increased by 6 the ratio becomes 4 : 5. The difference between the numbers isa)1b)3c)6d)8Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice Defence tests.
|
|
Explore Courses for Defence exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup