Which two signs should be interchanged in the following equation

Which two signs should be interchanged in the following equation
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Which two signs should be interchanged in the following equation to make it correct?

36 × 2 – 14 + 12 ÷ 2 = 28

A. ÷ and –

B. × and ÷

C. × and –

D. + and –

Please scroll down to see the correct answer and solution guide.

Right Answer is: B

SOLUTION

1) ÷ and –

Given statement: 36 × 2 – 14 + 12 ÷ 2 = 28

By changing the sign:

36 × 2 ÷ 14 + 12 – 2

 = 5.1428 + 12 – 2 = 15.1428 ≠ 28

2) × and ÷

Given statement: 36 × 2 – 14 + 12 ÷ 2 = 28

By changing the sign:

36 ÷ 2 – 14 + 12 × 2

18 – 14 + 24 = 42 - 14 = 28

3) × and –

Given statement: 36 × 2 – 14 + 12 ÷ 2 = 28

By changing the sign:

36 – 2 × 14 + 12 ÷ 2

= 36 – 28 + 6 = 14 ≠ 28

4) + and –

Given statement: 36 × 2 – 14 + 12 ÷ 2 = 28

By changing the sign:

36 × 2 + 14 – 12 ÷ 2

72 + 14 – 6 = 86 - 6 = 80 ≠ 28

Hence, “× and ÷” is the correct answer.