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?
A.1050
B.540
C.1440
D.1590

Answer 1

Hint: Here we will first assume the number which Anita wants to multiply it with to be some variable. Then we will use the given condition and form an equation such that the difference of new product and original product is equal to 540. We will then solve it to get the value of the assumed number. Then we will put the value of the assumed number in the equation of the new product to get the final answer.

Complete step-by-step answer:
Let the number which Anita want to multiply it with be \[x\].
It is given that Anita had to do a multiplication Instead of taking 35 as one of the multipliers she took 53. So, we will frame equations for both the cases.
She wants to find the value of the number \[35x\].
Instead she found the value of the number \[53x\].
It is given that as a result of this the product went up by 540. Therefore, we get
\[53x - 35x = 540\]
Now by solving this we will get the value of \[x\].
Subtracting the like terms, we get
\[ \Rightarrow 18x = 540\]
Now dividing both side by 18, we get
\[ \Rightarrow x = \dfrac{{540}}{{18}} = 30\]
Now we will put the value of \[x\] in \[53x\] to find the new product. Therefore, we get
\[53 \times 30 = 1590\]
Hence, the value of the new product is 1590.
So, option D is the correct option.

Note: Here, the equation we framed is a linear equation in one variable. A linear equation is an equation which has the highest degree of variable as 2 and has only one solution. In this question, we might make a mistake by adding the original number instead of finding their difference. This will give us the incorrect answer.