Question : Directions: Which two numbers should be interchanged to make the given equation correct?
9 + 30 × 15 – 18 ÷ 6 = 274
Option 1: 18 and 9
Option 2: 30 and 18
Option 3: 15 and 18
Option 4: 9 and 30
Correct Answer: 30 and 18
Solution :
Given:
9 + 30 × 15 – 18 ÷ 6 = 274
Let's check the given options –
First Option:
18 and 9
⇒ 18 + 30 × 15 – 9 ÷ 6 = 274
Solving the L.H.S. of the equation –
= 18 + 30 × 15 – 1.5
= 18 + 450 – 1.5
= 466.5 ≠ 274
Second option:
30 and 18
⇒ 9 + 18 × 15 – 30 ÷ 6 = 274
Solving the L.H.S. of the equation –
= 9 + 18 × 15 – 5
= 9 + 270 – 5
= 274 = R.H.S.
Third option:
15 and 18
⇒ 9 + 30 × 18 – 15 ÷ 6 = 274
Solving the L.H.S. of the equation –
= 9 + 30 × 18 – 2.5
= 9 + 540 – 2.5
= 546.5 ≠ 274
Fourth option:
9 and 30
⇒ 30 + 9 × 15 – 18 ÷ 6 = 274
Solving the L.H.S. of the equation –
= 30 + 9 × 15 – 3
= 30 + 135 – 3
= 162 ≠ 274
So, only the second option satisfies the given equation. Hence, the second option is correct.
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