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Which two numbers should be interchanged to make the given equation correct?
28 + 49 − 35 ÷ 7 × 4 = 68
28 and 35
28 and 49
49 and 35
4 and 28
Let’s break down each option for the equation:
\(28 + 49 - 35 \div 7 \times 4 = 68\)
- First, solve as is:
\(35 \div 7 = 5\)
\(5 \times 4 = 20\)
So, equation is: \(28 + 49 - 20 = 57\)
Not equal to 68.
Now, let's check each option:
- Option 1: Swap 28 and 35:
New equation: \(35 + 49 - 28 \div 7 \times 4\)
\(28 \div 7 = 4\)
\(4 \times 4 = 16\)
\(35 + 49 - 16 = 68\)
This works!
- Option 2: Swap 28 and 49:
New equation: \(49 + 28 - 35 \div 7 \times 4\)
\(49 + 28 - 20 = 57\)
No.
- Option 3: Swap 49 and 35:
New equation: \(28 + 35 - 49 \div 7 \times 4\)
\(49 \div 7 = 7\)
\(7 \times 4 = 28\)
\(28 + 35 - 28 = 35\)
Not correct.
- Option 4: Swap 4 and 28:
New equation: \(4 + 49 - 35 \div 7 \times 28\)
\(5 \times 28 = 140\)
\(4 + 49 - 140 = -87\)
So, the correct option is Option 1: Swap 28 and 35.
By: santosh ProfileResourcesReport error
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