Question:
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?
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?
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When one factor is taken incorrectly, the change in product equals the difference of factors times the other factor.
Updated On: Mar 20, 2026
- 1050
- 540
- 1440
- 1590
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The Correct Option is C
Solution and Explanation
Let the other multiplier be $x$. Difference in chosen numbers = $53 - 35 = 18$. Increase in product = $18x = 540 \Rightarrow x = 30$.
New product = $53 \times 30 = 1590$ (Check: Increase from old product $35 \times 30 = 1050$ is 540). New = $1050 + 540 = 1590$. Wait — matches option (4). Correction: Correct Answer = (4) 1590.
New product = $53 \times 30 = 1590$ (Check: Increase from old product $35 \times 30 = 1050$ is 540). New = $1050 + 540 = 1590$. Wait — matches option (4). Correction: Correct Answer = (4) 1590.
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