Question : Directions: Which two numbers from amongst the given options should be interchanged to make the given equation correct?
(240 ÷ 2 + 5) × 8 + 15 × 8 = 100
Option 1: 2 and 8
Option 2: 100 and 240
Option 3: 5 and 8
Option 4: 15 and 5
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Correct Answer: 2 and 8
Solution :
Given:
(240 ÷ 2 + 5) × 8 + 15 × 8 = 100
Interchange the numbers according to the given options.
First option:
2 and 8
(240 ÷ 8 + 5) × 2 + 15 × 2 = 100
Solving the L.H.S. of the equation –
= (30 + 5) × 2 + 15 × 2
= 35 × 2 + 15 × 2
= 70 + 30
= 100 = 100 (L.H.S. = R.H.S.)
Second option:
100 and 240
(100 ÷ 2 + 5) × 8 + 15 × 8 = 240
Solving the L.H.S. of the equation –
= (50 + 5) × 8 + 15 × 8
= 55 × 8 + 15 × 8
= 440 + 120
= 560
≠ 240
Third option:
5 and 8
(240 ÷ 2 + 8) × 5 + 15 × 5 = 100
Solving the L.H.S. of the equation –
= (128) × 5 + 15 × 5
= 640 + 75
= 715
≠ 100
Fourth option:
15 and 5
(240 ÷ 2 + 15) × 8 + 5 × 8 = 100
Solving the L.H.S. of the equation –
= (120 + 15) × 8 + 5 × 8
= 135 × 8 + 5 × 8
= 1080 + 40
= 1120
≠ 100
So, the required numbers to correct the equation are 2 and 8. Hence, the
first option
is correct.
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