Answer:
first number = -2
second number = 5
third number = -6
Step-by-step explanation:
Lets think first number is x , second number is y and third number is z.
ANSWER:
The value of the three numbers are -2, 5 and -6 respectively.
SOLUTION:
Let us say the unknown numbers 1, 2 and 3 are x, y and z respectively.
It is given to us that the last number is three times the first number.
Therefore, we can write it as;
z = 3x --- eq1
It is also given that the last number is 11 smaller than the second number.
Which can be written as;
z = y-11 ---- eq2
we are also given that the sum of all three numbers is -3.
So, we can form the equation as follows;
x + y + z = -3 ----- eq3
By equating equation 1 and equation 2 we get
3x = y – 11
y = 3x + 11 --- equation 4
By substituting eqn 1, 4 into equation 3 we get,
x + 3x + 11 + 3x = -3
7x + 11 = -3
7x = -14
x = -2
By substituting the value of “x” in eqn 1 we get z = -6
By substituting the value of “x” in eqn 4 we get y = -6 +11 = 5
Hence the three numbers are -2, 5 and -6
