Class 7 Exam > Class 7 Questions > 4 is added to a number and the sum is multipl...
Start Learning for Free
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.
- a)16
- b)12
- c)8
- d)20
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
4 is added to a number and the sum is multiplied by 5. If 20 is subtra...
Let the number be x.
Then according to the problem,
5(x + 4) - 20 = 10x8
5(x+4) -20 = 80
5(x+4) = 100
x+4 = 20
x = 16
Then according to the problem,
5(x + 4) - 20 = 10x8
5(x+4) -20 = 80
5(x+4) = 100
x+4 = 20
x = 16
Most Upvoted Answer
4 is added to a number and the sum is multiplied by 5. If 20 is subtra...
To solve this problem, let's break it down step by step:
Step 1: Let's assume the number is 'x'.
Step 2: "4 is added to a number" means we add 4 to 'x', which gives us 'x + 4'.
Step 3: "The sum is multiplied by 5" means we multiply 'x + 4' by 5, which gives us '5(x + 4)'.
Step 4: "20 is subtracted from the product" means we subtract 20 from '5(x + 4)', which gives us '5(x + 4) - 20'.
Step 5: "The difference is divided by 8" means we divide '5(x + 4) - 20' by 8, which gives us '(5(x + 4) - 20) / 8'.
Step 6: "The result is equal to 10" means '(5(x + 4) - 20) / 8' equals 10. So we have the equation '(5(x + 4) - 20) / 8 = 10'.
Step 7: Now, we can solve the equation to find the value of 'x'.
Solving the equation:
(5(x + 4) - 20) / 8 = 10
Multiplying both sides of the equation by 8 to eliminate the fraction:
5(x + 4) - 20 = 80
Distributing 5 to x and 4 inside the parentheses:
5x + 20 - 20 = 80
Simplifying:
5x = 80
Dividing both sides of the equation by 5 to solve for 'x':
x = 80 / 5
x = 16
Therefore, the number is 16. So the correct answer is option A.
Step 1: Let's assume the number is 'x'.
Step 2: "4 is added to a number" means we add 4 to 'x', which gives us 'x + 4'.
Step 3: "The sum is multiplied by 5" means we multiply 'x + 4' by 5, which gives us '5(x + 4)'.
Step 4: "20 is subtracted from the product" means we subtract 20 from '5(x + 4)', which gives us '5(x + 4) - 20'.
Step 5: "The difference is divided by 8" means we divide '5(x + 4) - 20' by 8, which gives us '(5(x + 4) - 20) / 8'.
Step 6: "The result is equal to 10" means '(5(x + 4) - 20) / 8' equals 10. So we have the equation '(5(x + 4) - 20) / 8 = 10'.
Step 7: Now, we can solve the equation to find the value of 'x'.
Solving the equation:
(5(x + 4) - 20) / 8 = 10
Multiplying both sides of the equation by 8 to eliminate the fraction:
5(x + 4) - 20 = 80
Distributing 5 to x and 4 inside the parentheses:
5x + 20 - 20 = 80
Simplifying:
5x = 80
Dividing both sides of the equation by 5 to solve for 'x':
x = 80 / 5
x = 16
Therefore, the number is 16. So the correct answer is option A.
Attention Class 7 Students!
To make sure you are not studying endlessly, EduRev has designed Class 7 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 7.
|
Explore Courses for Class 7 exam
|
|
Similar Class 7 Doubts
Top Courses for Class 7View all
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer?
Question Description
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer?.
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer?.
Solutions for 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 7.
Download more important topics, notes, lectures and mock test series for Class 7 Exam by signing up for free.
Here you can find the meaning of 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer?, a detailed solution for 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.a)16 b)12c)8 d)20Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 7 tests.
|
|
Explore Courses for Class 7 exam
|
|
Suggested Free Tests
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