Defence Exam > Defence Questions > 285 is summation of 3 numbers. Ratio between ...
Start Learning for Free
285 is summation of 3 numbers. Ratio between 2nd and 3rd numbers is 6:5. Ratio between 1st and 2nd numbers is 3:7. The 3rdnumber is?
- a)135
- b)150
- c)124
- d)105
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5....
Given information:
- Sum of three numbers is 285
- Ratio between 2nd and 3rd numbers is 6:5
- Ratio between 1st and 2nd numbers is 3:7
To find: The 3rd number
Solution:
Let's assume the three numbers to be x, y, and z
- Sum of three numbers is given as 285, so we can write an equation as:
x + y + z = 285
- Ratio between 2nd and 3rd numbers is given as 6:5, which means:
y/z = 6/5
or, y = (6/5)z
- Ratio between 1st and 2nd numbers is given as 3:7, which means:
x/y = 3/7
or, x = (3/7)y
Substituting the value of y in terms of z from the first equation, we get:
x = (3/7)(6/5)z
or, x = (18/35)z
Now, we can substitute the values of x and y in the first equation and simplify to get the value of z:
(18/35)z + (6/5)z + z = 285
(126/35)z = 285
z = (285*35)/126
z = 105
Therefore, the 3rd number is 105, which is option D.
- Sum of three numbers is 285
- Ratio between 2nd and 3rd numbers is 6:5
- Ratio between 1st and 2nd numbers is 3:7
To find: The 3rd number
Solution:
Let's assume the three numbers to be x, y, and z
- Sum of three numbers is given as 285, so we can write an equation as:
x + y + z = 285
- Ratio between 2nd and 3rd numbers is given as 6:5, which means:
y/z = 6/5
or, y = (6/5)z
- Ratio between 1st and 2nd numbers is given as 3:7, which means:
x/y = 3/7
or, x = (3/7)y
Substituting the value of y in terms of z from the first equation, we get:
x = (3/7)(6/5)z
or, x = (18/35)z
Now, we can substitute the values of x and y in the first equation and simplify to get the value of z:
(18/35)z + (6/5)z + z = 285
(126/35)z = 285
z = (285*35)/126
z = 105
Therefore, the 3rd number is 105, which is option D.
Free Test
FREE
| Start Free Test |
Community Answer
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5....
Given:
- Sum of 3 numbers = 285
- Ratio between 2nd and 3rd numbers = 6:5
- Ratio between 1st and 2nd numbers = 3:7
To find: The 3rd number
Solution:
Let the three numbers be a, b, and c.
From the given ratios, we can write:
b:c = 6:5 (1)
a:b = 3:7 (2)
We know that the sum of the three numbers is 285.
So, a + b + c = 285
From equation (2), we can write:
a/b = 3/7
=> a = (3/7) * b
Substituting this value of a in the above equation, we get:
(3/7) * b + b + c = 285
=> (10/7) * b + c = 285
From equation (1), we know that b/c = 6/5
=> b = (6/5) * c
Substituting this value of b in the above equation, we get:
(10/7) * (6/5) * c + c = 285
=> (12/7) * c + c = 285
=> (19/7) * c = 285
=> c = (285 * 7) / 19
=> c = 105
Therefore, the 3rd number is 105, which is option (D).
- Sum of 3 numbers = 285
- Ratio between 2nd and 3rd numbers = 6:5
- Ratio between 1st and 2nd numbers = 3:7
To find: The 3rd number
Solution:
Let the three numbers be a, b, and c.
From the given ratios, we can write:
b:c = 6:5 (1)
a:b = 3:7 (2)
We know that the sum of the three numbers is 285.
So, a + b + c = 285
From equation (2), we can write:
a/b = 3/7
=> a = (3/7) * b
Substituting this value of a in the above equation, we get:
(3/7) * b + b + c = 285
=> (10/7) * b + c = 285
From equation (1), we know that b/c = 6/5
=> b = (6/5) * c
Substituting this value of b in the above equation, we get:
(10/7) * (6/5) * c + c = 285
=> (12/7) * c + c = 285
=> (19/7) * c = 285
=> c = (285 * 7) / 19
=> c = 105
Therefore, the 3rd number is 105, which is option (D).
|
Explore Courses for Defence exam
|
|
Similar Defence Doubts
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer?
Question Description
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. 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 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer?.
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. 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 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer?.
Solutions for 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. 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 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer?, a detailed solution for 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 285 is summation of 3 numbers. Ratio between 2ndand 3rdnumbers is 6:5. Ratio between 1stand 2ndnumbers is 3:7. The 3rdnumber is?a)135b)150c)124d)105Correct answer is option 'D'. 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