Question 46

Which two numbers should be interchanged to make the below equation mathematically correct?
$$144 + 108 \div 12 - 16 \times 6 = 24$$

Solution

Option (a) 12, 6

$$144 + 108 \div 6 - 16 \times 12 = 24$$

$$144 + 18 - 192 = 24$$

$$-30\ne24$$

The given equation is not satisfied. So this is not the correct answer.

Option (b) 108, 144

$$108 + 144 \div 12 - 16 \times 6 = 24$$

$$108 + 12 - 96 = 24$$

120 - 96 = 24

24 = 24

The given equation is satisfied. So this is the correct answer.

Option (c) 108, 6

$$144 + 6 \div 12 - 16 \times 108 = 24$$

The given equation is not satisfied. Because it will give the values in fractions. So this is not the correct answer.

Option (d) 12, 16

$$144 + 108 \div 16 - 12 \times 6 = 24$$

The given equation is not satisfied. Because it will give the values in fractions. So this is not the correct answer.


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