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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?
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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