Question : Directions: Which two numbers (not digits) should be interchanged to make the given equation correct?
(18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Option 1: 2 and 24
Option 2: 2 and 4
Option 3: 24 and 18
Option 4: 16 and 18
Correct Answer: 24 and 18
Solution :
Given:
(18 × 2) – 24 + 10 × 160 ÷ 16 + (10 × 4) = 170
Let's check the options –
First option:
2 and 24
⇒ (18 × 24) – 2 + 10 × 160 ÷ 16 + (10 × 4) = 170
432 – 2 + 10 × 10 + 40 = 170
432 – 2 + 100 + 40 = 170
430 + 140 = 170
570 ≠ 170
Second option:
2 and 4
⇒ (18 × 4) – 24 + 10 × 160 ÷ 16 + (10 × 2) = 170
72 – 24 + 10 × 10 + 20 = 170
72 – 24 + 100 + 20
48 + 120 = 170
168 ≠ 170
Third option:
24 and 18
⇒ (24 × 2) – 18 + 10 × 160 ÷ 16 + (10 × 4) = 170
48 – 18 + 10 × 10 + 40 = 170
48 – 18 + 100 + 40 = 170
170 = 170
Fourth option:
16 and 18
⇒(16 × 2) – 24 + 10 × 160 ÷ 18 + (10 × 4) = 170
32 – 24 + 1600 ÷ 18 + 40 = 170
32 – 24 + 88.88 + 40 = 170
8 + 88.8 + 40 = 170
136.88 ≠ 170
So, only the third option satisfies the given equation. Hence, the third option is correct.
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