Question : Directions: Some equations have been solved based on a certain system. Find out the correct answer for the unsolved equation on that basis.
If 29 × 13 = 14, 76 × 26 = 34, then 64 × 14 = ?
Option 1: 39
Option 2: 32
Option 3: 26
Option 4: 54
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Correct Answer: 26
Solution :
Given:
29 × 13 = 14; 76 × 26 = 34; 64 × 14 = ?
Here, add the first and second numbers and divide the resultant by 3, to get the third number –
29 × 13 = 14→29 + 13 = 42; 42 ÷ 3 = 14
76 × 26 = 34→76 + 26 = 102; 102 ÷ 3 = 34
Similarly, follow the same pattern for 64 × 14 = ?→64 + 14 = 78; 78 ÷ 3 = 26
So, 26 is the required missing number. Hence, the third option is correct.
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