2+3=43 3+4=109 7+9=1138 12+44=?
Answers
Given : 2+3=43 3+4=109 7+9=1138
To find : 12+44=? or 12 + 14
Solution:
2+3=43
(2 * (3 + 1) ) * (2 + 3) + 3 ( 3 - 2)
= 40 + 3
= 43
3+4=109
(3 * (4 + 1) ) * (3 + 4) + 4 (4 - 3)
= 105 + 4
= 109
7+9=1138
(7 * (9 + 1) ) * (7 + 9) + 9 (9 - 7)
= 1120 + 18
= 1138
12+44=
(12 * (44 + 1) ) * (12 + 44) + 44 (44 - 12)
= 12 * 45 * 56 + 44 * 32
= 30240 + 1408
= 31648
12 + 44 = 31648
12+14=
(12 * (14 + 1) ) * (12 + 14) + 14 (14 - 12)
= 12 *15 * 26 + 14 * 2
= 4680 + 28
= 4708
12+14 = 4708
Logic
x + y = z
=> z = x (y+1)(x+y) + y*(y-x)
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