Question : Directions: Which two numbers should be interchanged to make the given equation correct?
9 + 6 ÷ 4 − 5 + 3 = 10
Option 1: 6 and 10
Option 2: 10 and 5
Option 3: 9 and 3
Option 4: 4 and 3
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Correct Answer: 4 and 3
Solution :
Given:
9 + 6 ÷ 4 − 5 + 3 = 10
Let's check the options –
First options:
6 and 10
9 + 3 ÷ 4 − 5 + 6 = 10
On solving the L.H.S. of the given equation –
= 9 + 3 ÷ 4 − 5 + 6
= 9 + 0.75 − 5 + 6
= 15.75 − 5
= 10.75 ≠ 10
Second option:
10 and 5
9 + 6 ÷ 4 − 10 + 3 = 5
On solving the L.H.S. of the given equation –
= 9 + 6 ÷ 4 − 10 + 3
= 9 + 1.5 − 10 + 3
= 13.5 − 10
= 3.5 ≠ 5
Third option:
9 and 3
3 + 6 ÷ 4 − 5 + 9 = 10
On solving the L.H.S. of the given equation –
= 3 + 6 ÷ 4 − 5 + 9
= 3 + 1.5 − 5 + 9
= 13.5 − 5
= 8.5 ≠ 10
Fourth option:
4 and 3
9 + 6 ÷ 3 − 5 + 4 = 10
On solving the L.H.S. of the given equation –
= 9 + 6 ÷ 3 − 5 + 4
= 9 + 2 − 5 + 4
= 15 − 5
= 10
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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