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A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?
- a)780
- b)1040
- c)1590
- d)1720
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A person had to multiply two numbers. Instead of multiplying by 35, he...
x*53-x*35=540=> x=30 therefore, 53*30=1590
Most Upvoted Answer
A person had to multiply two numbers. Instead of multiplying by 35, he...
correct=x*35
wrong=x*53
x*53-x*35=540=> x=30 therefore, 53*30=1590
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A person had to multiply two numbers. Instead of multiplying by 35, he...
Problem:
A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?
Solution:
Let's assume the two numbers that the person had to multiply are x and 35.
1. Original Product:
The original product is obtained when the person multiplies the two numbers correctly. So, we can write:
Original Product = x * 35
2. Product when multiplied by 53:
Instead of multiplying by 35, the person multiplied the numbers by 53. So, the product obtained is:
Product when multiplied by 53 = x * 53
3. Difference in Products:
The problem states that the product went up by 540. Mathematically, we can express this as:
Product when multiplied by 53 - Original Product = 540
4. Equation:
Substituting the values of the original product and product when multiplied by 53, we get the following equation:
x * 53 - x * 35 = 540
5. Simplifying the Equation:
Let's simplify the equation by combining like terms:
18x = 540
6. Solving for x:
To find the value of x, we divide both sides of the equation by 18:
x = 540 / 18
x = 30
7. Raised Product:
Now that we have the value of x, we can calculate the raised product by multiplying x by 53:
Raised Product = x * 53
Raised Product = 30 * 53
Raised Product = 1590
Therefore, the raised product is 1590, which corresponds to option C.
A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?
Solution:
Let's assume the two numbers that the person had to multiply are x and 35.
1. Original Product:
The original product is obtained when the person multiplies the two numbers correctly. So, we can write:
Original Product = x * 35
2. Product when multiplied by 53:
Instead of multiplying by 35, the person multiplied the numbers by 53. So, the product obtained is:
Product when multiplied by 53 = x * 53
3. Difference in Products:
The problem states that the product went up by 540. Mathematically, we can express this as:
Product when multiplied by 53 - Original Product = 540
4. Equation:
Substituting the values of the original product and product when multiplied by 53, we get the following equation:
x * 53 - x * 35 = 540
5. Simplifying the Equation:
Let's simplify the equation by combining like terms:
18x = 540
6. Solving for x:
To find the value of x, we divide both sides of the equation by 18:
x = 540 / 18
x = 30
7. Raised Product:
Now that we have the value of x, we can calculate the raised product by multiplying x by 53:
Raised Product = x * 53
Raised Product = 30 * 53
Raised Product = 1590
Therefore, the raised product is 1590, which corresponds to option C.
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A person had to multiply two numbers. Instead of multiplying by 35, he multiplied by 53 and the product went up by 540. What was the raised product?a)780b)1040c)1590d)1720Correct answer is option 'C'. Can you explain this answer?
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