If a b c are odd positive integers the number of integral solution a + b + c equal to 13 is
Venkatalakshmi , 5 Years ago
Grade 12th pass
Magical Mathematics[Interesting Approach]> If a b c are odd positive integers the nu...
1 Answers
Arun
Last Activity: 5 Years ago
a = 2x +1
b = 2y +1
c = 2z +1
Now
2(x+y+z) = 10
x + y+ z = 5
Now
x, y, z can start from 0
Now
x. y z
0. 0. 5. = 3 ways
0. 1. 4. = 6 ways
0. 2. 3. = 6 ways
1. 1. 3. = 3 ways
1. 2. 2. = 3 ways
Hence total possible numbers are 21
Hope it helps
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