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Combined Operations
(Sum & Difference of
Product)
Vedic Mathematics
Cultural Computing Initiatives
www.culturalcomputingindia.com
www.culturalcomputingindia.com
Find (42x23) + (33x12)
4 2
2 3
3 3
1 2
+
xx
(2x3) + (3x2)[(4x3)+(2x2)] + [(3x2)+(3x1)](4x2) + (3x1)
8 3+ 16 9+ 6 6+
11 25 12
Ans: 2613
www.culturalcomputingindia.com
Find (42x31) - (23x14)
4 2
3 1
2 3
1 4
-
xx
(2x1) - (3x4)[(4x1)+(2x3)] - [(2x4)+(3x1)](4x3) - (2x1)
12 3- 10 11- 2 12-
9 1 10
Ans: 088
029=
Convert Vinculum To Normal
www.culturalcomputingindia.com
Find (33x37) + (28x24)
3 3
4 3
3 2
2 4
+
xx
(3x3) + (2x4)[(3x3)+(3x4)] + [(3x4)+(2x2)](3x4) + (3x2)
12 6+ 3 8+ 9 8+
18 11 17
Ans: 3918
37 = 4 3 & 28 = 3 2
701 9=
Convert Vinculum To Normal
www.culturalcomputingindia.com
Find (48x34) – (38x27)
5 2
3 4
4 2
3 3
-
xx
(2x4) - (2x3)[(5x4)+(2x3)] - [(4x3)+(2x3)](5x3) - (4x3)
15 12- 14 18- 8 6-
3 32 14
Ans: 606
48 = 5 2 & 38 = 4 2 & 27 = 3 3
416=
Convert Vinculum To Normal
www.culturalcomputingindia.com
Find (32x41) + (21x13) + (33x22)
3 2
4 1
3 3
2 2
+
xx
(2x1) + (3x2)[(3x1)+(2x4)] + [(3x2)+(3x2)](3x4) + (3x2)
12 6+ 7 12+ 3 6+
20 30 11
Ans: 1123
2 1
1 3x
+
+ (2x1) + [(2x3)+(1x1)] + (1x3)
+2+112 +
www.culturalcomputingindia.com
Find (45x43) – (34x21) - (13x32)
4 5
4 3
1 3
3 2
-
xx
(5x3) - (3x2)[(4x3)+(5x4)] - [(1x2)+(3x3)](4x4) - (1x3)
16 3- 11 11- 4 6-
7 10 5
Ans: 508
3 4
2 1x
-
- (3x2) - [(3x1)+(4x2)] - (4x1)
-15-326 -
www.culturalcomputingindia.com
Find (48x31) + (14x33) – (49x37)
5 2
3 1
5 1
4 3
-
xx
(2x1) - (1x3)[(5x1)+(2x3)] - [(5x3)+(1x4)](5x3) - (5x4)
15 20+ 15 19- 12 3-
2 33 7
Ans: 731
1 4
3 3x
+
+ (1x3) + [(1x3)+(4x3)] + (4x3)
+2+13 -
48 = 5 2 & 49 = 5 1 & 37 = 4 3
www.culturalcomputingindia.com
Find (78x51) – (15x88) – (91x17)
1 2 2
5 1
1 1 1
2 3
-
xx
(2x1)
- (1x3)
[(1x1)+(2x5)]
- [(1x3)+(1x2)]
(1x5)
- (1x2)
Ans:
1 5
1 1 2x
-
- (1x1) - [(1x1)+(5x1)] - (5x2)
78 = 1 2 2 & 88 = 1 1 2 & 91 = 1 1 1 & 17 = 2 3
[(2x1)+(2x5)]
- [(1x3)+(1x2)]
- [(1x2)+(5x1)]
5
- 1
2-
9
4-
5-
12
7-
5-
2
10-
3-
2 8 1110
119=
Convert Vinculum To Normal
2
111 1
www.culturalcomputingindia.com
Find (128x55) + (22x111) – (108x27)
1 3 2
5 5
1 1 2
3 3
-
xx
5 3+ 4 0- 2 6-
4 24 14
Ans: 656
2 2
1 1 1x
+
+10+202 -
128 = 1 3 2 & 108 = 1 1 2 & 27 = 3 3
4 9-
18
+5
475=
Convert Vinculum To Normal
6
6
www.culturalcomputingindia.com
Find (378x37) - (48x438) + (287x29)
4 2 2
4 3
3 1 3
3 1
+
xx
16 9- 12 6+ 4 3+
5 38 5
Ans: 656
5 2
4 4 2x
-
-6-2020 +
378 = 4 2 2 & 37 = 4 3 & 48 = 5 2 & 438 = 4 4 2 & 287 = 3 1 3 & 27 = 3 1
18 2+
18
-2
588=
Convert Vinculum To Normal
2
6

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Vedic Mathematics- Combined operation Sum and Product of Numbers

  • 1. Combined Operations (Sum & Difference of Product) Vedic Mathematics Cultural Computing Initiatives www.culturalcomputingindia.com
  • 2. www.culturalcomputingindia.com Find (42x23) + (33x12) 4 2 2 3 3 3 1 2 + xx (2x3) + (3x2)[(4x3)+(2x2)] + [(3x2)+(3x1)](4x2) + (3x1) 8 3+ 16 9+ 6 6+ 11 25 12 Ans: 2613
  • 3. www.culturalcomputingindia.com Find (42x31) - (23x14) 4 2 3 1 2 3 1 4 - xx (2x1) - (3x4)[(4x1)+(2x3)] - [(2x4)+(3x1)](4x3) - (2x1) 12 3- 10 11- 2 12- 9 1 10 Ans: 088 029= Convert Vinculum To Normal
  • 4. www.culturalcomputingindia.com Find (33x37) + (28x24) 3 3 4 3 3 2 2 4 + xx (3x3) + (2x4)[(3x3)+(3x4)] + [(3x4)+(2x2)](3x4) + (3x2) 12 6+ 3 8+ 9 8+ 18 11 17 Ans: 3918 37 = 4 3 & 28 = 3 2 701 9= Convert Vinculum To Normal
  • 5. www.culturalcomputingindia.com Find (48x34) – (38x27) 5 2 3 4 4 2 3 3 - xx (2x4) - (2x3)[(5x4)+(2x3)] - [(4x3)+(2x3)](5x3) - (4x3) 15 12- 14 18- 8 6- 3 32 14 Ans: 606 48 = 5 2 & 38 = 4 2 & 27 = 3 3 416= Convert Vinculum To Normal
  • 6. www.culturalcomputingindia.com Find (32x41) + (21x13) + (33x22) 3 2 4 1 3 3 2 2 + xx (2x1) + (3x2)[(3x1)+(2x4)] + [(3x2)+(3x2)](3x4) + (3x2) 12 6+ 7 12+ 3 6+ 20 30 11 Ans: 1123 2 1 1 3x + + (2x1) + [(2x3)+(1x1)] + (1x3) +2+112 +
  • 7. www.culturalcomputingindia.com Find (45x43) – (34x21) - (13x32) 4 5 4 3 1 3 3 2 - xx (5x3) - (3x2)[(4x3)+(5x4)] - [(1x2)+(3x3)](4x4) - (1x3) 16 3- 11 11- 4 6- 7 10 5 Ans: 508 3 4 2 1x - - (3x2) - [(3x1)+(4x2)] - (4x1) -15-326 -
  • 8. www.culturalcomputingindia.com Find (48x31) + (14x33) – (49x37) 5 2 3 1 5 1 4 3 - xx (2x1) - (1x3)[(5x1)+(2x3)] - [(5x3)+(1x4)](5x3) - (5x4) 15 20+ 15 19- 12 3- 2 33 7 Ans: 731 1 4 3 3x + + (1x3) + [(1x3)+(4x3)] + (4x3) +2+13 - 48 = 5 2 & 49 = 5 1 & 37 = 4 3
  • 9. www.culturalcomputingindia.com Find (78x51) – (15x88) – (91x17) 1 2 2 5 1 1 1 1 2 3 - xx (2x1) - (1x3) [(1x1)+(2x5)] - [(1x3)+(1x2)] (1x5) - (1x2) Ans: 1 5 1 1 2x - - (1x1) - [(1x1)+(5x1)] - (5x2) 78 = 1 2 2 & 88 = 1 1 2 & 91 = 1 1 1 & 17 = 2 3 [(2x1)+(2x5)] - [(1x3)+(1x2)] - [(1x2)+(5x1)] 5 - 1 2- 9 4- 5- 12 7- 5- 2 10- 3- 2 8 1110 119= Convert Vinculum To Normal 2 111 1
  • 10. www.culturalcomputingindia.com Find (128x55) + (22x111) – (108x27) 1 3 2 5 5 1 1 2 3 3 - xx 5 3+ 4 0- 2 6- 4 24 14 Ans: 656 2 2 1 1 1x + +10+202 - 128 = 1 3 2 & 108 = 1 1 2 & 27 = 3 3 4 9- 18 +5 475= Convert Vinculum To Normal 6 6
  • 11. www.culturalcomputingindia.com Find (378x37) - (48x438) + (287x29) 4 2 2 4 3 3 1 3 3 1 + xx 16 9- 12 6+ 4 3+ 5 38 5 Ans: 656 5 2 4 4 2x - -6-2020 + 378 = 4 2 2 & 37 = 4 3 & 48 = 5 2 & 438 = 4 4 2 & 287 = 3 1 3 & 27 = 3 1 18 2+ 18 -2 588= Convert Vinculum To Normal 2 6