Question : Directions: Which two numbers should be interchanged to make the given equation correct?
144 ÷ 24 × 6 + 12 – 18 = 78
Option 1: 6 and 18
Option 2: 24 and 12
Option 3: 24 and 6
Option 4: 24 and 18
Correct Answer: 24 and 12
Solution :
Given:
144 ÷ 24 × 6 + 12 – 18 = 78
Interchange the given numbers according to the options one by one with the original numbers in the given equation.
First option:
6 and 18
Solving the L.H.S. of the equation –
⇒ 144 ÷ 24 × 18 + 12 – 6
= 108 + 12 – 6
= 114 ≠ 78
Second option:
24 and 12
Solving the L.H.S. of the equation –
⇒ 144 ÷ 12 × 6 + 24 – 18
= 72 + 6
= 78 = R.H.S.
Third option:
24 and 6
Solving the L.H.S. of the equation –
⇒ 144 ÷ 6 × 24 + 12 – 18
= 576 + 12 – 18
= 576 – 6
= 570 ≠ 78
Fourth option:
24 and 18
Solving the L.H.S. of the equation –
⇒ 144 ÷ 18 × 6 + 12 – 24
= 48 + 12 – 24
= 48 – 12
= 36 ≠ 78
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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