Question : Directions: Which two numbers should be interchanged to make the given equation correct?
16 + 24 × 12 – 25 + 6 = 298
Option 1: 25 and 24
Option 2: 25 and 12
Option 3: 25 and 16
Option 4: 24 and 16
Correct Answer: 25 and 24
Solution :
Given:
16 + 24 × 12 – 25 + 6 = 298
Let's check the options –
First option:
25 and 24
16 + 25 × 12 – 24 + 6 = 298
Solving the L.H.S. of the equation –
= 16 + 300 – 24 + 6
= 298 = R.H.S.
Second option:
25 and 12
16 + 24 × 25 – 12 + 6 = 298
Solving the L.H.S. of the equation –
= 16 + 600 – 12 + 6
= 610 ≠ 298
Third option:
25 and 16
25 + 24 × 12 – 16 + 6 = 298
Solving the L.H.S. of the equation –
= 25 + 288 – 16 + 6
= 303 ≠ 298
Fourth option:
24 and 16
24 + 16 × 12 – 25 + 6 = 298
Solving the L.H.S. of the equation –
= 24 + 192 – 25 + 6
= 197 ≠ 298
So, only the first option satisfies the R.H.S. of the equation. Hence, the first option is correct.
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