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Which two numbers should be interchanged to make the given equation correct?
18 + 2 (7 × 2) – 11 (4 - 2) + 15 ÷ 3 = 27
- a)7 and 15
- b)15 and 18
- c)7 and 11
- d)11 and 18
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Which two numbers should be interchanged to make the given equation c...
Using BODMAS rule,
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Option 1 → Interchanging 7 and 15
18 + 2 (15 × 2) – 11 (4 – 2) + 7 ÷ 3 = 27
18 + 2 (30) – 11(2) + 2.3 = 27
18 + 60 – 22 + 2.3 = 27
80.3 – 22 ≠ 27
Option 2 → Interchanging 15 and 18
15 + 2 (7 × 2) – 11 (4 - 2) + 18 ÷ 3 = 27
15 + 28 – 22 + 6 = 27
49 – 22 = 27
27 = 27
Option 3 → Interchanging 7 and 11
18 + 2 (11 × 2) – 7 (4 - 2) + 15 ÷ 3 = 27
18 + 44 – 14 + 5 = 27
67 – 14 ≠ 27
Option 4 → Interchanging 11 and 18
11 + 2 (7 × 2) – 18 (4 - 2) + 15 ÷ 3 = 27
11 + 28 -36 + 5 = 27
44 – 36 ≠ 27
Hence, option 2 is the correct answer.
Most Upvoted Answer
Which two numbers should be interchanged to make the given equation c...
Explanation:
To make the given equation correct, we need to interchange two numbers. Let's break down the equation step by step and see which numbers need to be interchanged.
Step 1: Simplify the expression on the left side of the equation.
18 - 2(7 × 2) – 11(4 - 2) = 18 - 2(14) - 11(2) = 18 - 28 - 22 = -32
Step 2: Simplify the expression on the right side of the equation.
15 ÷ 3 = 5
The given equation is:
-32 = 27a
We need to find the value of 'a' that satisfies this equation.
Now, let's consider each option and see if it satisfies the equation.
Option A: 7 and 15 interchanged
If we interchange 7 and 15, the equation becomes:
18 - 2(15 × 2) – 11(4 - 2) = 18 - 2(30) - 11(2) = 18 - 60 - 22 = -64
-64 ≠ 27a
Option B: 15 and 18 interchanged
If we interchange 15 and 18, the equation becomes:
15 - 2(7 × 2) – 11(4 - 2) = 15 - 2(14) - 11(2) = 15 - 28 - 22 = -35
-35 ≠ 27a
Option C: 7 and 11 interchanged
If we interchange 7 and 11, the equation becomes:
18 - 2(11 × 2) – 11(4 - 2) = 18 - 2(22) - 11(2) = 18 - 44 - 22 = -48
-48 ≠ 27a
Option D: 11 and 18 interchanged
If we interchange 11 and 18, the equation becomes:
18 - 2(7 × 2) – 18(4 - 2) = 18 - 2(14) - 18(2) = 18 - 28 - 36 = -46
-46 ≠ 27a
Therefore, the correct answer is option B: 15 and 18 should be interchanged to make the equation correct.
To make the given equation correct, we need to interchange two numbers. Let's break down the equation step by step and see which numbers need to be interchanged.
Step 1: Simplify the expression on the left side of the equation.
18 - 2(7 × 2) – 11(4 - 2) = 18 - 2(14) - 11(2) = 18 - 28 - 22 = -32
Step 2: Simplify the expression on the right side of the equation.
15 ÷ 3 = 5
The given equation is:
-32 = 27a
We need to find the value of 'a' that satisfies this equation.
Now, let's consider each option and see if it satisfies the equation.
Option A: 7 and 15 interchanged
If we interchange 7 and 15, the equation becomes:
18 - 2(15 × 2) – 11(4 - 2) = 18 - 2(30) - 11(2) = 18 - 60 - 22 = -64
-64 ≠ 27a
Option B: 15 and 18 interchanged
If we interchange 15 and 18, the equation becomes:
15 - 2(7 × 2) – 11(4 - 2) = 15 - 2(14) - 11(2) = 15 - 28 - 22 = -35
-35 ≠ 27a
Option C: 7 and 11 interchanged
If we interchange 7 and 11, the equation becomes:
18 - 2(11 × 2) – 11(4 - 2) = 18 - 2(22) - 11(2) = 18 - 44 - 22 = -48
-48 ≠ 27a
Option D: 11 and 18 interchanged
If we interchange 11 and 18, the equation becomes:
18 - 2(7 × 2) – 18(4 - 2) = 18 - 2(14) - 18(2) = 18 - 28 - 36 = -46
-46 ≠ 27a
Therefore, the correct answer is option B: 15 and 18 should be interchanged to make the equation correct.
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Which two numbers should be interchanged to make the given equation correct?18 + 2 (7 × 2) – 11 (4 - 2) + 15 ÷ 3 = 27a)7 and 15b)15 and 18c)7 and 11d)11 and 18Correct answer is option 'B'. Can you explain this answer?
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