Question : Directions: Some equations have been solved based on certain systems. Find out the correct answer for the unsolved equation on that basis.
If 72 × 19 = 23, 13 × 48 = 35 and 16 × 43 = 18, then 39 × 22 = ?
Option 1: 31
Option 2: 51
Option 3: 21
Option 4: 27
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Correct Answer: 31
Solution :
Given:
72
×
19 = 23; 13
×
48 = 35; 16
×
43 = 18
Add the resultants of the product of the digits of both numbers.
Like, 72
×
19 = 23→(7 × 2) + (1 × 9) = 14 + 9 = 23
13
×
48 = 35→(1 × 3) + (4 × 8) = 3 + 32 = 35
16
×
43 = 18→(1 × 6) + (4 × 3) = 6 + 12 = 18
Similarly, follow the same pattern for 39
×
22 = ?→(3 × 9) + (2 × 2) = 27 + 4 = 31
Therefore, the required missing number is 31. Hence, the first option is correct.
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