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The number 299 is divided into two parts in the ratio 5:8. The product of the numbers is_____.
- a)21140
- b)21294
- c)21160
- d)31294
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The number 299 is divided into two parts in the ratio 5:8. The product...
Ratio of two parts = 5:8
Smaller number
Larger number
Larger number
So, the product of the number
= 115 × 184 = 21160
Most Upvoted Answer
The number 299 is divided into two parts in the ratio 5:8. The product...
To solve this problem, we need to find two numbers that multiply to give 299 and are in the ratio of 5:8.
Let's assume the two numbers are 5x and 8x, where x is a common factor.
The product of these two numbers is (5x)(8x) = 40x^2.
We know that the product of the two numbers is 299, so we can set up the equation:
40x^2 = 299
To solve for x, we divide both sides of the equation by 40:
x^2 = 299/40
Now, we can take the square root of both sides to solve for x:
x = √(299/40)
Simplifying this, we get:
x = √7.475
Since we are looking for whole numbers, we need to find the square root of 7.475. The square root is approximately 2.732.
Now, we can find the two numbers by multiplying x by 5 and 8:
First number = 5x = 5(2.732) = 13.66 (approximately)
Second number = 8x = 8(2.732) = 21.856 (approximately)
To find the product of these two numbers, we multiply them together:
Product = 13.66 * 21.856 = 299.02 (approximately)
Therefore, the product of the two numbers is approximately 299.02.
The correct answer is not given in the options provided.
Let's assume the two numbers are 5x and 8x, where x is a common factor.
The product of these two numbers is (5x)(8x) = 40x^2.
We know that the product of the two numbers is 299, so we can set up the equation:
40x^2 = 299
To solve for x, we divide both sides of the equation by 40:
x^2 = 299/40
Now, we can take the square root of both sides to solve for x:
x = √(299/40)
Simplifying this, we get:
x = √7.475
Since we are looking for whole numbers, we need to find the square root of 7.475. The square root is approximately 2.732.
Now, we can find the two numbers by multiplying x by 5 and 8:
First number = 5x = 5(2.732) = 13.66 (approximately)
Second number = 8x = 8(2.732) = 21.856 (approximately)
To find the product of these two numbers, we multiply them together:
Product = 13.66 * 21.856 = 299.02 (approximately)
Therefore, the product of the two numbers is approximately 299.02.
The correct answer is not given in the options provided.
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The number 299 is divided into two parts in the ratio 5:8. The product of the numbers is_____.a)21140b)21294c)21160d)31294Correct answer is option 'C'. Can you explain this answer?
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