Question
Download Solution PDFWhich two numbers should be interchanged to make the following equation correct?
6 × 5 ÷ 15 +16 - 14 = 12
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFLet's check each option,
1) 12 and 15
→ 6 × 5 ÷ 12 +16 - 14 = 15
→ 6 × 5/12 +16 - 14 = 15
→ 2.5 +16 - 14 = 15
→ 18.5 - 14 = 15
→ 3.5 ≠ 15
→ LHS ≠ RHS
2) 12 and 16
→ 6 × 5 ÷ 15 +12 - 14 = 16
→ 6 × 1/3 +12 - 14 = 16
→ 2 +12 - 14 = 16
→ 14 - 14 = 16
→ 0 ≠ 16
→ LHS ≠ RHS
3) 6 and 12
→ 12 × 5 ÷ 15 +16 - 14 = 6
→ 12 × 1/3 +16 - 14 = 6
→ 4 +16 - 14 = 6
→ 20 - 14 = 6
→ 6 = 6
→ LHS = RHS → Satisfies the equation.
4) 15 and 16
→ 6 × 5 ÷ 16 + 15 - 14 = 12
→ 6 × 5/16 + 15 - 14 = 12
→ 15/8 + 15 - 14 = 12
→ 135/8 - 14 = 12
→ 23/8 ≠ 12
→ LHS ≠ RHS
Here, we can see that only Option 3 satisfies the equation.
Hence, the correct answer is "6 and 12".
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