Question 30

Which of the numbers (not digits) should be interchanged in the given equation to make it mathematically correct?
$$104 \div 4 − 6 + 13 \times 5 = 22$$

Solution

$$99=22$$$$99=22$$According to the given equation need to check with each and every option, like:
13 and 4

$$104\ \frac{\ 4}{ }\ -\ 6\ +\ 13\times\ 5=22$$

$$104\ \frac{\ 13}{ }\ -\ 6\ +\ 4\times\ 5=22$$

$$8-6\ +\ 20\ =\ 22$$

$$2\ +\ 20=22$$

$$22=22$$

6 and 4

$$104\ \frac{\ 6}{ }\ -\ 4\ +\ 13\times\ 5=22$$
$$104\ \frac{\ 2}{ }\ +\ 13\times\ 5=22$$
$$52\ +\ 13\times\ 5=22$$

$$52\ +\ 65=22$$

$$117=22$$
6 and 5

$$104\ \frac{\ 4}{ }\ -\ 5\ +\ 13\times\ 6=22$$

$$26\ -\ 5\ +\ 13\times\ 6=22$$

$$26\ -\ 5\ +\ 78=22$$

$$21+\ 78=22$$

$$99=22$$

13 and 6

$$104\ \frac{\ 4}{ }\ -\ 13\ +\ 6\times\ 5=22$$

$$26\ -\ 13\ +\ 30=22$$

$$13\ +\ 30=22$$

$$43=22$$
Hence Option A is the correct answer 


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