Question : Directions: Which of the following interchanges of numbers would make the given equation correct?
7 × 4 ÷ 14 + 12 + 30 = 50
Option 1: 12, 14
Option 2: 7, 14
Option 3: 4, 7
Option 4: 30, 50
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Correct Answer: 7, 14
Solution :
Given:
7 × 4 ÷ 14 + 12 + 30 = 50
Let's check the given options –
First option:
12, 14
On interchanging the numbers, we get –
⇒ 7 × 4 ÷ 12 + 14 + 30 = 50
Solving the L.H.S. of the equation –
= 7 × 0.33 + 14 + 30
= 2.31 + 14 + 30
= 46.31 ≠ 50
Second option:
7, 14
On interchanging the numbers, we get –
⇒ 14 × 4 ÷ 7 + 12 + 30 = 50
Solving the L.H.S. of the equation –
= 8 + 12 + 30
= 50
Third option:
4, 7
On interchanging the numbers, we get –
⇒ 4 × 7 ÷ 14 + 12 + 30 = 50
Solving the L.H.S. of the equation –
= 4 × 0.5 + 12 + 30
= 2 + 12 + 30
= 44 ≠ 50
Fourth option:
30, 50
On interchanging the numbers, we get –
⇒ 7 × 4 ÷ 14 + 12 + 50 = 30
Solving the L.H.S. of the equation –
= 2 + 12 + 50
= 64 ≠ 30
So, only the second option satisfies the given equation. Hence, the second option is correct.
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