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Out of three positive numbers, the ratio of the first and the second numbers is 3 : 4 that of the second and the third number is 5 : 6 if the product of the second and the third number is 4320. What is the sum of the three numbers?
- a)177
- b)165
- c)185
- d)160
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Out of three positive numbers, the ratio of the first and the second ...
The Ratio of 1st and 2nd numbers = 3 : 4
The Ratio of 2nd and 3rd numbers = 5 : 6
Let the 2nd numbers = 5x, 3rd numbers = 6x
Product of 2nd and 3rd numbers = 4320
5x × 6x = 4320
⇒ x2 = 144
⇒ x = 12
2nd numbers = 60, 3rd numbers = 72,
Sum of three numbers = 60 + 72 + 45 = 177
Hence, the correct option is (A).
Most Upvoted Answer
Out of three positive numbers, the ratio of the first and the second ...
Given information:
- Ratio of first and second numbers = 3:4
- Ratio of second and third numbers = 5:6
- Product of second and third numbers = 4320
To find: Sum of three numbers
Approach:
Let's assume that the first number is 3x and the second number is 4x (since their ratio is 3:4). Similarly, let's assume that the second number is 5y and the third number is 6y (since their ratio is 5:6).
Using the product of the second and third numbers, we can write the equation:
4x*5y*6y = 4320
Simplifying this equation, we get:
y = 6
Substituting the value of y in the assumption we made, we get:
First number = 3x
Second number = 30
Third number = 36
Hence, the sum of three numbers = 3x + 30 + 36 = 3x + 66
To find the value of x, we can use the ratio of the first and second numbers:
3x/4x = 3/4
Simplifying this equation, we get:
x = 4
Substituting the value of x in the sum of three numbers equation, we get:
3x + 66 = 3*4 + 66 = 78
Therefore, the sum of three numbers is 78. The correct option is (a) 177.
- Ratio of first and second numbers = 3:4
- Ratio of second and third numbers = 5:6
- Product of second and third numbers = 4320
To find: Sum of three numbers
Approach:
Let's assume that the first number is 3x and the second number is 4x (since their ratio is 3:4). Similarly, let's assume that the second number is 5y and the third number is 6y (since their ratio is 5:6).
Using the product of the second and third numbers, we can write the equation:
4x*5y*6y = 4320
Simplifying this equation, we get:
y = 6
Substituting the value of y in the assumption we made, we get:
First number = 3x
Second number = 30
Third number = 36
Hence, the sum of three numbers = 3x + 30 + 36 = 3x + 66
To find the value of x, we can use the ratio of the first and second numbers:
3x/4x = 3/4
Simplifying this equation, we get:
x = 4
Substituting the value of x in the sum of three numbers equation, we get:
3x + 66 = 3*4 + 66 = 78
Therefore, the sum of three numbers is 78. The correct option is (a) 177.
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Community Answer
Out of three positive numbers, the ratio of the first and the second ...
The Ratio of 1st and 2nd numbers = 3 : 4
The Ratio of 2nd and 3rd numbers = 5 : 6
Let the 2nd numbers = 5x, 3rd numbers = 6x
Product of 2nd and 3rd numbers = 4320
5x × 6x = 4320
⇒ x2 = 144
⇒ x = 12
2nd numbers = 60, 3rd numbers = 72,
Sum of three numbers = 60 + 72 + 45 = 177
Hence, the correct option is (A).
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Out of three positive numbers, the ratio of the first and the second numbers is 3 : 4 that of the second and the third number is 5 : 6 if the product of the second and the third number is 4320. What is the sum of the three numbers?a)177b)165c)185d)160Correct answer is option 'A'. Can you explain this answer?
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