Question 44

Which two signs should be interchanged to make the below equation mathematically correct?
$$60 - 4 \times 12 \div 3 + 8 = 88$$

Solution

Option (a) $$+, \times$$

$$60 - 4 + 12 \div 3 \times 8 = 88$$

$$60 - 4 + 4 \times 8 = 88$$

$$56 + 32 = 88$$

88 = 88

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

Option (b) $$\times, \div$$

$$60 - 4  \div 12 \times 3 + 8 = 88$$

$$60-\frac{4}{12}\times3+8=88$$

$$60-\frac{12}{12}+8=88$$

60-1+8=88

$$67\ne\ 88$$

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

Option (c) $$-, +$$

$$60 + 4 \times 12 \div 3 - 8 = 88$$

$$60+4\times\frac{12}{3}-8=88$$

$$60+4\times4-8=88$$

$$60+16-8=88$$

$$60+8=88$$

$$68\ne88$$

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

Option (d) $$+, \div$$

$$60 - 4 \times 12 + 3 \div 8 = 88$$

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


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