Question

Which two signs should be interchanged to make the following equation correct? 27 - 45 × 15 ÷ 8 + 3 = 6

• A. - and x
• B. + and x
• C. ÷ and x
• D. - and +

Answer 1

Answer:

C. ÷ and x

We need to interchange two signs so that:

$27 - 45 \times 15 \div 8 + 3 = 6$
becomes correct.

Try interchanging − and ÷:

$27 \div 45 \times 15 - 8 + 3$
Now solve using BODMAS:

$27 \div 45 \times 15 = 9$
So,

9 - 8 + 3 = 1 + 3 = 4
Not correct.

Now interchange × and +:

$27 - 45 + 15 \div 8 \times 3$
Not 6.

Now interchange − and +:

$27 + 45 \times 15 \div 8 - 3$
Not 6.

Now interchange × and ÷:

$27 - 45 \div 15 \times 8 + 3$
$45 \div 15 = 3$
$3 \times 8 = 24$
$27 - 24 + 3 = 6$
Correct.

Final Answer:

Interchange ‘×’ and ‘÷’.