SAT Exam > SAT Questions > The sum of three numbers is 240. If the great...
Start Learning for Free
The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?
- a)96
- b)120
- c)140
- d)144
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The sum of three numbers is 240. If the greatest of these numbers is 5...
Let's call the three numbers a, b, and c.
If their sum is 240, a + b + c = 240
Let's say the largest number is c. If this is 50% larger than the sum of the others, c = 1.5(a + b)
Divide by 1.5: c/1.5 = a + b
Substitute a + b = c/1.5 into the first equation:
Multiply by 1.5: c + 1.5c = 360
Simplify: 2.5c = 360
Divide by 2.5: c = 144
If their sum is 240, a + b + c = 240
Let's say the largest number is c. If this is 50% larger than the sum of the others, c = 1.5(a + b)
Divide by 1.5: c/1.5 = a + b
Substitute a + b = c/1.5 into the first equation:
Multiply by 1.5: c + 1.5c = 360
Simplify: 2.5c = 360
Divide by 2.5: c = 144
Most Upvoted Answer
The sum of three numbers is 240. If the greatest of these numbers is 5...
Given Information
The sum of three numbers is 240. The greatest number is 50% more than the sum of the other two numbers.
Let's solve the problem step by step
Step 1: Set up the equation
Let the three numbers be x, y, and z.
According to the given information, we have:
x + y + z = 240
z = 1.5(x + y) (since z is 50% more than the sum of the other two numbers)
Step 2: Substitute the value of z in the first equation
Substitute the value of z from the second equation into the first equation:
x + y + 1.5(x + y) = 240
2.5(x + y) = 240
x + y = 240 / 2.5
x + y = 96
Step 3: Find the value of z
Substitute x + y = 96 into the equation z = 1.5(x + y):
z = 1.5(96)
z = 144
Conclusion
Therefore, the greatest of the three numbers is 144. Hence, the correct answer is option 'D' (144).
|
Explore Courses for SAT exam
|
|
Similar SAT Doubts
Top Courses for SATView all
The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer?
Question Description
The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer?.
The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer?.
Solutions for The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for SAT.
Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free.
Here you can find the meaning of The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer?, a detailed solution for The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The sum of three numbers is 240. If the greatest of these numbers is 50% more than the sum of the other two, what is the value of the greatest of these numbers?a)96b)120c)140d)144Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice SAT tests.
|
|
Explore Courses for SAT 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
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup