Question

If three numbers are added the sum is 15. if the second number is subtracted from the sum of first and third number then we get '5' and If twice the first number is added to the second and the third number is subtracted from the sum we get '4'. Use matrices to find the numbers.

Answer 1

Answer:

3 , 5 , 7

Step-by-step explanation:

Let say three numbers are

a , b , c

a + b + c = 15    eq 1

a + c - b = 5      eq 2

2a + b - c = 4     Eq 3

Eq 1 - eq 2

=> 2b = 10

=> b = 5

Eq 2 + eq 3

3a = 9

=> a = 3

putting un eq 1 a & b values

3 + 5 + c = 15

=> c = 7

3 , 5 , 7

Answer 2

Answer:

Step-by-step explanation:

Let those three no. Be x,y,z

By 1st condition ,

X+y+z=15

By 2nd condition,

X+z-y=5

By 3rd condition,

2x+y-z=4

By solving this ....

We get ,

D=6

And dx=18

And dy= 30

And dz=42

So, x=dx/d=3

Y=dy/d=5

And z=dz/d=7