Question

Which two signs and two numbers should be interchanged in the following equation to make it correct:

24 ÷ 12 × 21 - 273 + 14 = 179

1. 14 and 21, × and +
2. 14 and 21, + and ÷
3. 21 and 12, + and ÷
4. 14 and 24, × and +

Answer 1

Correct Answer - Option 2 : 14 and 21, + and ÷

1) 14 and 21, × and +

Given equation is : 24 ÷ 12 × 21 - 273 + 14 = 179

After interchanging the numbers and signs in L.H.S, we get : 

24 ÷ 12 + 14 - 273 × 21

= 2 + 14 - 273 × 21

= 2 + 14 - 5733

= 16 - 5733

= -5717 (False)

2) 14 and 21, + and ÷

Given equation is : 24 ÷ 12 × 21 - 273 + 14 = 179

After interchanging the numbers and signs in L.H.S, we get :

24 + 12 × 14 - 273 ÷ 21

= 24 + 12 × 14 - 13

= 24 + 168 - 13

= 192 - 13

= 179 (True)

3) 21 and 12, + and ÷

Given equation is : 24 ÷ 12 × 21 - 273 + 14 = 179

After interchanging the numbers and signs in L.H.S, we get :

24 + 21 × 12 - 273 ÷ 14

= 24 + 21 × 12 - 19.5

= 24 + 252 - 19.5

= 276 - 19.5

= 256.5 (False)

4) 14 and 24, × and +

Given equation is : 24 ÷ 12 × 21 - 273 + 14 = 179

After interchanging the numbers and signs in L.H.S, we get :

14 ÷ 12 + 21 - 273 × 24

= 1.167 + 21 - 273 × 24

= 1.167 + 21 - 6552

= 22.167 - 6552

= 6529.833 (False)

Hence, "14 and 21, + and ÷" is the correct answer.