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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?
- a)1050
- b)540
- c)1440
- d)1590
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
Let us assume that the number with which Anita has to perform the multiplication is 'x'.
Instead of finding 35x, she calculated 53x.
The difference = 53x - 35x = 18x = 540
Therefore, x = 540/18 = 30
So, the new product = 30 x 53 = 1590.
Most Upvoted Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
Given: One multiplier is 35 and the other is 53.
The difference in multipliers = 53 - 35 = 18
The difference in product = 540
Let's assume the original product was P.
New product = Original product + Difference in product
New product = P + 540
We can write the equation using the given multipliers as:
P = 35 * a
P + 540 = 53 * b
where a and b are the other multipliers in the two equations.
We can simplify the above equations as:
a = P/35
b = (P + 540)/53
Substituting the value of a in the second equation, we get:
b = (P/35) + (540/53)
Multiplying both sides by 35*53, we get:
35*53*b = 53*P + 35*540
1875b = 53P + 18900
53P = 1875b - 18900
As P is an integer, 1875b - 18900 must be divisible by 53.
Dividing both sides by 53, we get:
P = (1875b - 18900)/53
Now, we need to find the value of b that satisfies the given conditions.
We know that the difference in multipliers is 18 and the difference in product is 540.
So, we can write:
b - a = 18
53b - 35a = 540
Substituting the value of a in the second equation, we get:
53b - (P/35)*35 = 540
53b - P = 540
Substituting the value of P from earlier, we get:
53b - (1875b - 18900)/53 = 540
Multiplying both sides by 53, we get:
53*53b - (1875b - 18900) = 28620
53*53b - 1875b + 18900 = 28620
2809b = 9520
b = 9520/2809
Substituting the value of b in the equation for P, we get:
P = (1875b - 18900)/53 = (1875*(9520/2809) - 18900)/53 = 1590
Therefore, the new product is 1590.
The difference in multipliers = 53 - 35 = 18
The difference in product = 540
Let's assume the original product was P.
New product = Original product + Difference in product
New product = P + 540
We can write the equation using the given multipliers as:
P = 35 * a
P + 540 = 53 * b
where a and b are the other multipliers in the two equations.
We can simplify the above equations as:
a = P/35
b = (P + 540)/53
Substituting the value of a in the second equation, we get:
b = (P/35) + (540/53)
Multiplying both sides by 35*53, we get:
35*53*b = 53*P + 35*540
1875b = 53P + 18900
53P = 1875b - 18900
As P is an integer, 1875b - 18900 must be divisible by 53.
Dividing both sides by 53, we get:
P = (1875b - 18900)/53
Now, we need to find the value of b that satisfies the given conditions.
We know that the difference in multipliers is 18 and the difference in product is 540.
So, we can write:
b - a = 18
53b - 35a = 540
Substituting the value of a in the second equation, we get:
53b - (P/35)*35 = 540
53b - P = 540
Substituting the value of P from earlier, we get:
53b - (1875b - 18900)/53 = 540
Multiplying both sides by 53, we get:
53*53b - (1875b - 18900) = 28620
53*53b - 1875b + 18900 = 28620
2809b = 9520
b = 9520/2809
Substituting the value of b in the equation for P, we get:
P = (1875b - 18900)/53 = (1875*(9520/2809) - 18900)/53 = 1590
Therefore, the new product is 1590.
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Community Answer
Anita had to do a multiplication. Instead of taking 35 as one of the m...
The product went up by +540
right number that has to be taken was 35.
instead they took 53, so extra he taken is 53-35= 18.
from here we can find the 2nd number of the multiplication
i.e 540/18 = 30.
now that the one number is 30.
and the number taken now instead of 35 is 53.
so, the present calculation would be 53*30= 1590.
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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?
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Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?.
Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anita had to do a multiplication. Instead of taking 35 as one of the multipliers, she took 53. As a result, the product went up by 540. What is the new product?a)1050b)540c)1440d)1590Correct answer is option 'D'. Can you explain this answer?.
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