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A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.
- a)85
- b)64
- c)72
- d)40
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A number is 56 greater than the average of its third, quarter and one-...
Let the number be x. Then, One-third of x = x/3, Quarter of x = x/4
One-twelfth of x = x/12
Average of third, quarter and one-twelfth of
One-twelfth of x = x/12
Average of third, quarter and one-twelfth of
According to question, we have
⇒
⇒
⇒ 36x − 4x − 3x − x = 36 × 56 ⇒ 28x = 36 × 56
⇒
⇒
⇒
⇒ 36x − 4x − 3x − x = 36 × 56 ⇒ 28x = 36 × 56
⇒
Hence, the number is 72.
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A number is 56 greater than the average of its third, quarter and one-...
Given, a number is 56 greater than the average of its third, quarter and one-twelfth.
Let the number be x.
Then, average of its third, quarter and one-twelfth = (x/3 + x/4 + x/12)/3
= [(4x + 3x + x)/12]/3
= (8x/12)/3
= x/4
Therefore, x = (x/4) + 56
Multiplying both sides by 4, we get
4x = x + 224
3x = 224
x = 224/3
x = 74.67
Rounded off to the nearest whole number, the number is 72.
Hence, the correct option is (c) 72.
Let the number be x.
Then, average of its third, quarter and one-twelfth = (x/3 + x/4 + x/12)/3
= [(4x + 3x + x)/12]/3
= (8x/12)/3
= x/4
Therefore, x = (x/4) + 56
Multiplying both sides by 4, we get
4x = x + 224
3x = 224
x = 224/3
x = 74.67
Rounded off to the nearest whole number, the number is 72.
Hence, the correct option is (c) 72.
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A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer?.
A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A number is 56 greater than the average of its third, quarter and one-twelfth. Find the number.a)85b)64c)72d)40Correct answer is option 'C'. Can you explain this answer?.
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