Algebra I
posted by katya .
The sum of three numbers is 147. The second number is 4 more than two times the first number. The third number is five less than three times the first number. Find the three numbers.
Can you please solve it? I have no idea how to do this. Thanks a lot for any help!

Let the first number be x
"The second number is 4 more than two times the first number"
the second number is 2x + 4
"The third number is five less than three times the first number"
the third number is 3x  5
your first sentence "The Sum of three numbers is 147"
x + 2x+4 + 3x5 = 147
6x = 148
x = 74/3
then second number is 2(74/3) + 4 = 160/3
the third number is 3(74/3)  5 = 39
check: 74/3 + 160/3 + 69 = 147 
Call the numbers A, B and C
We know
A + B + C = 147
We are told that:
B = 2 A + 4 (two times the first number and add 4)
and
C = 3 A  5 (five less than three times the first number)
This is called substituting. Now we can substitute (2 A + 4) for B whenever we see it.
Using this, we can rewrite
A + B + C = 147
as
A + (2 A + 4) + (3 A  5) = 147
since we know B and C in terms of A.
Make sure you understand this step before continuing.
Gathering the As and the numbers together, we have:
A + 2A + 3A + 4  5 = 147
6 A + 4  5 = 147.
6 A  1 = 147.
6 A = 148.
A = 148 / 6.
A = 24 2/3
B = 2 A + 4 = 49 + 4 + 1/3 = 53 1/3
C = 74  5 = 69. 
i think the answeris letter c

eat my ass out a straw
Respond to this Question
Similar Questions

math
The greater of two numbers is 1 more than twice the smaller. Three times the greater exceeds 5 times the smaller by 10. Find the numbers. The second of three numbers is 1 less than the first. The third number is 5 less than the second. … 
Math
The sum of three numbers is 301. The second number is 3 less than twelve times the first number. The third number is 4 more than seven times the number. Find the three numbers. 
algebra
Five times the smallest of three consecutive odd integers is ten more than twice the longest. Find the integers. The sum of three integers is one hundred twenty three more than the first number. The second number is two more than the … 
advance algebra
find three numbers such that the second is 6 less than 3 times the first , and the third is 2 more than 2/3 of the 2nd.The sum of the three numbers is 172. use x=1st number y=second number z= 3rd number please help...thanks a lot!! 
Grade 8 Math
Can you write them in Mathematical/numbers form I'll solve them myself. i don't really get it though i have written the first one in mathematical for but i'm not sure if that's right. 1. When six is subtracted from five times a certain … 
Algebra Its Urgent!
A second number is three times a first number. A third number is 15 more than the first number. If the sum of the three numbers is 330, find the numbers. 
Algebra
A second number is four times a first number. A third number is 13 less than the first number. If the sum of the three numbers is 353, find the numbers 
algebra
Twice the first number is eleven more than the sum of the other two numbers. The sum of twice the first number and three times the third number is one more than the second number. The second number is equal to the sum of the first … 
algebra
Three numbers are such that the first number is 10 less than twice the second and the second number is 4 more than three times the third. Twice the second number is equal to the sum of the first and third numbers. Find the numbers 
College Alebra
Solve the following using system of equations. The sum of three numbers is 26. The middle number numerically is one more than three times the smallest number. The largest number is two times less than five times the smallest number. …