Question 35

By interchanging the two numbers 20 and 36, which of the following equations will be correct?

I. $$55 + 42 - 36 \times 20 \div 9 = 17$$
II. $$20 \div 2 \times 36 + 81 - 41 = 400$$

Solution

$$55\ +\ 42\ -\ 36\times\ 20\ \frac{\ 9}{ }=17$$

$$55\ +\ 42\ -20\times\ 36\ \frac{\ 9}{ }=17$$

$$55\ +\ 42\ -20\times\ 4=17$$

$$55\ +\ 42\ -80=17$$

$$97-80=17$$

$$17=17$$

$$20\ \frac{\ 2}{ }\times\ 36\ +\ 81\ -\ 41=400$$

$$36\frac{\ 2}{ }\times\ 20\ +\ 81\ -\ 41=400$$

$$18\times\ 20\ +\ 81-41=400$$

$$360\ +\ 81-41=400$$

$$441-41=400$$

$$400=400$$

Hence Option C is the correct answer.


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