Number Properties : Framing Equations

The question is an elementary Number Systems question and involves operations on numbers by framing a simple equation.

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?

1. 1050
2. 540
3. 1440
4. 1520
5. 1590

Correct Answer - 1590. Choice (5)

Explanatory Answer

Let the number that Anita wanted to multiply be 'X'.
She was expected to find the value of 35X.
Instead, she found the value of 53X.

The difference between the value that she got (53X) and what she was expected to get (35X) is 540.

i.e., 53X - 35X = 540
or (53 - 35) * X = 540
X = 30

Therefore, the correct product = 53 * 30 = 1590

Correct answer choice (5)

Level of difficulty : Easy

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