SOLUTION: The sum of 3 numbers is 137. The second number is 4 more than 2 times the first number. The third number is 5 less than 3 times the first number. FInd the 3 numbers

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The sum of 3 numbers is 137. The second number is 4 more than 2 times the first number. The third number is 5 less than 3 times the first number. FInd the 3 numbers      Log On


   

Question 240095: The sum of 3 numbers is 137. The second number is 4 more than 2 times the first number. The third number is 5 less than 3 times the first number. FInd the 3 numbers
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
___+___+___=137
If x = first number
then 2x+4 = second number
and 3x-5 = third number
.
So the equation then becomes: x%2B%282x%2B4%29%2B%283x-5%29=137
.
Steps:
a. remove the parentheses and combine like terms
b. solve for x
c. now you know the value of the first number.
d. use that value to figure out the second number using 2x+4
e. use the x value to figure out the third number using 3x-5
.
done! :)