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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?
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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.
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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?
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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?.
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