the sum of three numbers be 6 twice the third number when added to first number gives 7.on addition of sum of second and third number to thrice of first number we get 12.Find number using matrix method and adjoint method.
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Numbers are 3 , 1 , 2 if sum of three numbers = 6 and 2 * 3rd + 1st = 7 , 2nd + 3rd + 3* 1st = 12
Step-by-step explanation:
First Number = x
Second number = y
Third number = z
the sum of three numbers be 6
x + y + z = 6 Eq1
twice the third number when added to first number gives 7
2z + x = 7 Eq2
on addition of sum of second and third number to thrice of first number we get 12
y + z + 3x = 12 Eq3
Eq3 - Eq1
=> 2x = 6
=> x = 3
Putting in eq 2
=> 2z + 3 = 7
=> 2z = 4
=> z = 2
3 + y + 2 = 6
=> y = 1
Numbers are 3 , 1 , 2
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