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Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number is
- a)36
- b)24
- c)18
- d)12
Correct answer is option 'A'. Can you explain this answer?
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Two natural numbers are in the ratio 3 : 5 and their product is 2160. ...
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Two natural numbers are in the ratio 3 : 5 and their product is 2160. ...
Given information:
- The ratio of two natural numbers is 3:5.
- The product of these two numbers is 2160.
Let's solve the problem step by step:
Step 1: Determining the ratio
- The given ratio is 3:5.
- This means that one number is 3 times smaller than the other number.
- Let's assume the smaller number as 3x and the larger number as 5x.
Step 2: Determining the product
- The product of the two numbers is 2160.
- This means that (3x) * (5x) = 2160.
- Simplifying the equation, we get 15x^2 = 2160.
- Dividing both sides of the equation by 15, we get x^2 = 144.
- Taking the square root on both sides, we get x = 12.
Step 3: Finding the smaller number
- We assumed the smaller number as 3x.
- Substituting the value of x, we get 3 * 12 = 36.
Conclusion:
- The smaller number is 36, which is option A.
- The ratio of two natural numbers is 3:5.
- The product of these two numbers is 2160.
Let's solve the problem step by step:
Step 1: Determining the ratio
- The given ratio is 3:5.
- This means that one number is 3 times smaller than the other number.
- Let's assume the smaller number as 3x and the larger number as 5x.
Step 2: Determining the product
- The product of the two numbers is 2160.
- This means that (3x) * (5x) = 2160.
- Simplifying the equation, we get 15x^2 = 2160.
- Dividing both sides of the equation by 15, we get x^2 = 144.
- Taking the square root on both sides, we get x = 12.
Step 3: Finding the smaller number
- We assumed the smaller number as 3x.
- Substituting the value of x, we get 3 * 12 = 36.
Conclusion:
- The smaller number is 36, which is option A.
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Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer?
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Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer?.
Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer? for Teaching 2024 is part of Teaching preparation. The Question and answers have been prepared according to the Teaching exam syllabus. Information about Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Teaching 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smallest of the number isa)36b)24c)18d)12Correct answer is option 'A'. Can you explain this answer?.
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