Question : Directions: Which of the following interchanges of numbers would make the given equation correct?
8 × 20 ÷ 3 + 9 – 5 = 38
Option 1: (8, 9)
Option 2: (3, 5)
Option 3: (3, 9)
Option 4: (3, 8)
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Correct Answer: (3, 5)
Solution :
Given:
8 × 20 ÷ 3 + 9 – 5 = 38
Let's check the options –
First option:
(8, 9)
Solving L.H.S. of the equation –
= 9 × 20 ÷ 3 + 8 – 5
= 60 + 3
= 63 ≠ 38
Second option
: (3, 5)
Solving L.H.S. of the equation –
=
8 × 20 ÷ 5 + 9 – 3
= 32 + 9 – 3
= 38 = R.H.S.
Third option:
(3, 9)
Solving L.H.S. of the equation –
=
8 × 20 ÷ 9 + 3 – 5
= 17.78 – 2
= 15.78 ≠ 38
Fourth option
: (3, 8)
Solving L.H.S. of the equation –
=
3
× 20 ÷ 8 + 9 – 5
= 7.5 + 4
= 11.5 ≠ 38
So, only the second option satisfies the given condition. Hence, the second option is correct.
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