Which two signs should be interchanged to make the given equation correct?
306 ÷ 17 + 4 - 50 × 8 = 30
- A÷ and x
- B+ and x
- Cx and -
- D+ and -
Solution & Step-by-step Explanation
Let's check Option C by interchanging × and −:
The equation becomes:
306÷17+4×50−8
Following BODMAS rule:
Division: 306÷17=18
Multiplication: 4×50=200
Substitution: 18+200−8=218−8=210
=30
Let's test Option D (+ and -):
306÷17−4+50×8
18−4+400=414
=30
Let's test Option B (+ and ×):
306÷17×4−50+8
18×4−50+8=72−50+8=30
The LHS matches RHS (30=30). Thus, interchanging + and × makes the equation correct.
The equation becomes:
306÷17+4×50−8
Following BODMAS rule:
Division: 306÷17=18
Multiplication: 4×50=200
Substitution: 18+200−8=218−8=210
=30
Let's test Option D (+ and -):
306÷17−4+50×8
18−4+400=414
=30
Let's test Option B (+ and ×):
306÷17×4−50+8
18×4−50+8=72−50+8=30
The LHS matches RHS (30=30). Thus, interchanging + and × makes the equation correct.