Answer:
1st number is 6
2nd number is 30
3rd number is 33
Step-by-step explanation:
Let x be the first number.
The second of three numbers is 5 times the first = 5x
The third number is 3 more than the second = 5x + 3
If the second is decreased by twice the third, the result is -21.
Multiply the third number by 2.
2(5x + 3)
= 10x + 6
Subtract the second number to it.
(5x)-(10x + 6) = -21
-5x - 6 = -21
Use APE or Addition Property of Equality
-5x = -21 + 6
-5x = -15
Use DPE or Division Property of Equality to get the value of x
[tex]\frac{-5x}{-5} = \frac{-15}{-5}[/tex]
x = 3
Now put the value of x in the equation
first number(x) = 6
second number(5x) = 5(6) = 30
third number(5x + 3)
5(6) + 3
30 + 3 = 33
