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Which two numbers need to be interchanged to make the following equation correct?
7 + 56 ÷ 8 ÷ 2 − 13 = 11
7 and 8
7 and 13
7 and 2
8 and 2
Here’s the thing—let’s take this step by step.
- The original equation is: 7 + 56 ÷ 8 ÷ 2 - 13 = 11
- Let’s solve it as-is first.
56 ÷ 8 = 7; then 7 ÷ 2 = 3.5
So: 7 + 3.5 - 13 = -2.5 (Nowhere near 11.)
Let’s try swapping pairs, option by option:
- Option 1: Swap 7 and 8
- New equation: 8 + 56 ÷ 7 ÷ 2 - 13 = 11
56 ÷ 7 = 8; 8 ÷ 2 = 4
8 + 4 - 13 = -1
Still, not 11.
- Option 2: Swap 7 and 13
- Equation: 13 + 56 ÷ 8 ÷ 2 - 7
56 ÷ 8 = 7; 7 ÷ 2 = 3.5
13 + 3.5 - 7 = 9.5
Closer, but not 11.
- Option 3: Swap 7 and 2
- Equation: 2 + 56 ÷ 8 ÷ 7 - 13
56 ÷ 8 = 7; 7 ÷ 7 = 1
2 + 1 - 13 = -10
Still off.
- Option 4: Swap 8 and 2
- Equation: 7 + 56 ÷ 2 ÷ 8 - 13
56 ÷ 2 = 28; 28 ÷ 8 = 3.5
7 + 3.5 - 13 = -2.5
Not 11.
Let me tell you plainly:
- None of these swaps give you exactly 11, but Option 2 comes closest (9.5). The other swaps land further from 11.
So, the most reasonable answer among the given options is Option 2: 7 and 13.
Option 2 is the right pick here.
By: santosh ProfileResourcesReport error
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