Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct:
24 ÷ 12 × 21 – 273 + 14 = 179
Option 1: 14 and 21, × and +
Option 2: 14 and 21, + and ÷
Option 3: 21 and 12, + and ÷
Option 4: 14 and 24, × and +
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Correct Answer: 14 and 21, + and ÷
Solution :
Given:
24 ÷ 12 × 21 – 273 + 14 = 179
Replace the signs and numbers according to the given options, to balance the equation.
Let's check the options –
First option:
14 and 21, × and +
⇒24 ÷ 12 + 14 – 273 × 21 = 179
2 + 14 – 273 × 21 = 179
2 + 14 – 5733 = 179
– 5717 ≠ 179
Second option:
14 and 21,+ and ÷
⇒24 + 12 × 14 – 273 ÷ 21 = 179
24 + 12 × 14 – 13 = 179
24 + 168 – 13 = 179
179 = 179
Third option:
21 and 12,+ and ÷
⇒24 + 21 × 12 – 273 ÷ 14 = 179
24 + 21 × 12 – 19.5 = 179
24 + 252 – 19.5 = 179
256.5 ≠ 179
Fourth option:
14 and 24,× and +
⇒14 ÷ 12 + 21 – 273 × 24 = 179
1.16 + 21 – 273 × 24 = 179
1.16 + 21 – 6552 = 179
– 6529.84 ≠ 179
So, the second option satisfies the given equation. Hence, the second option is correct.
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