SOLUTION: The sum of three numbers is one hundred. the second number is one more than twice the first number. the third number is three less than the first number. find the three numbers.

Question 1104320: The sum of three numbers is one hundred. the second number is one more than twice the first number. the third number is three less than the first number. find the three numbers.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is one hundred.
a + b + c = 100
the second number is one more than twice the first number.
b = 2a+ 1
the third number is three less than the first number.
c = a - 3
find the three numbers.
In the 1st equation, replace b with (2a+1)and c with (a-3)
a + (2a+1) + (a-3) = 100
combine like terms
a + 2a + a + 1 - 3 = 100
4a -2 = 100
4a = 100 + 2
4a = 102
a = 102/4
a = 25.5
find b
b = 2(25.5) + 1
b = 51 + 1
b = 52
find c
c = 25.5-3
c = 22.5
:
Check, find the sum of these three numbers
25.5 + 52 + 22.5 = 100

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