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Of two numbers, 1/5th of the greater is equal to 1/3rd of the smaller and their sum is 16. The numbers are:
- a)(6, 10)
- b)(9, 7)
- c)(12, 4)
- d)(11, 5)
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Of two numbers, 1/5thof the greater is equal to 1/3rdof the smaller an...
Given:
- 1/5th of the greater number = 1/3rd of the smaller number
- Sum of the two numbers = 16
To find: The two numbers
Solution:
Let's assume the two numbers as 'a' and 'b', where 'a' is greater than 'b'.
From the first condition, we have:
- 1/5a = 1/3b [as 1/5th of the greater number is equal to 1/3rd of the smaller number]
Simplifying the above equation, we get:
- b = 3/5a
Substituting the value of 'b' in terms of 'a' in the second equation:
- a + b = 16
- a + 3/5a = 16 [as b = 3/5a]
- 8/5a = 16
- a = 10
Substituting the value of 'a' in the equation 'b = 3/5a', we get:
- b = 3/5(10) = 6
Therefore, the two numbers are 10 and 6. Hence, option 'A' is the correct answer.
Answer: Option 'A' (6, 10)
- 1/5th of the greater number = 1/3rd of the smaller number
- Sum of the two numbers = 16
To find: The two numbers
Solution:
Let's assume the two numbers as 'a' and 'b', where 'a' is greater than 'b'.
From the first condition, we have:
- 1/5a = 1/3b [as 1/5th of the greater number is equal to 1/3rd of the smaller number]
Simplifying the above equation, we get:
- b = 3/5a
Substituting the value of 'b' in terms of 'a' in the second equation:
- a + b = 16
- a + 3/5a = 16 [as b = 3/5a]
- 8/5a = 16
- a = 10
Substituting the value of 'a' in the equation 'b = 3/5a', we get:
- b = 3/5(10) = 6
Therefore, the two numbers are 10 and 6. Hence, option 'A' is the correct answer.
Answer: Option 'A' (6, 10)
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Community Answer
Of two numbers, 1/5thof the greater is equal to 1/3rdof the smaller an...
Given information:
- 1/5th of the greater number = 1/3rd of the smaller number
- Sum of the two numbers = 16
To find:
- The two numbers
Solution:
Let's assume the two numbers to be x and y, where x is the greater number and y is the smaller number.
From the given information, we can form the following equations:
- x + y = 16 (sum of the two numbers is 16)
- x/5 = y/3 (1/5th of the greater number is equal to 1/3rd of the smaller number)
Simplifying the second equation, we get:
- 3x = 5y
Substituting this value of 5y/3 for x in the first equation, we get:
- 5y/3 + y = 16
- 8y/3 = 16
- y = 6
Substituting this value of y in the equation x + y = 16, we get:
- x + 6 = 16
- x = 10
Therefore, the two numbers are 10 and 6, which is option A.
Answer: Option A (6, 10)
- 1/5th of the greater number = 1/3rd of the smaller number
- Sum of the two numbers = 16
To find:
- The two numbers
Solution:
Let's assume the two numbers to be x and y, where x is the greater number and y is the smaller number.
From the given information, we can form the following equations:
- x + y = 16 (sum of the two numbers is 16)
- x/5 = y/3 (1/5th of the greater number is equal to 1/3rd of the smaller number)
Simplifying the second equation, we get:
- 3x = 5y
Substituting this value of 5y/3 for x in the first equation, we get:
- 5y/3 + y = 16
- 8y/3 = 16
- y = 6
Substituting this value of y in the equation x + y = 16, we get:
- x + 6 = 16
- x = 10
Therefore, the two numbers are 10 and 6, which is option A.
Answer: Option A (6, 10)
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Of two numbers, 1/5thof the greater is equal to 1/3rdof the smaller and their sum is 16. The numbers are:a)(6, 10)b)(9, 7)c)(12, 4)d)(11, 5)Correct answer is option 'A'. Can you explain this answer?
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