Question

Od
ho
3) The sum of three numbers is 15. If the second number is subtracted from the
sum of the first & third number we get 5. If the third number is subtracted from
the sum of twice the first number & the second number we get 4. Then the thre
numbers using determinants are
3,5,7
0,1-1​

Answer 1

Here's Ur Answer Mate!

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Let the three numbers be a,b,c

The sum of three numbers is 15

⟹a+b+c=15⋯(1)

The second number is subtracted from the sum of first and third number to geet 5

⟹a−b+c=5⋯(2)

twice of first number is added to second and if the third number is subtracted from sum we get 4

⟹2a+b−c=4⋯(3)

(1)−(2)

⟹2b=10

b=5

put it in (1)

⟹a+c=10

c=10−a

put it in (3)

2a+5−10+a=4

3a−5=4

3a=9

a=3

⟹c=10−3

c=7

a=3;b=5;c=7

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