SOLUTION: Write down and slove the following equation for the following <br> Find two consecutive odd numbers so that difference between 5 times the larger number and 3 times the smaller nu

Question 1028450: Write down and slove the following equation for the following

Find two consecutive odd numbers so that difference between 5 times the larger number and 3 times the smaller number is 120
Found 3 solutions by LinnW, Alan3354, fractalier:
Answer by LinnW(1048)   (Show Source): You can put this solution on YOUR website!
Let x be the smaller number
x + 2 is the larger
5(x + 2) - 3(x) = 120
5x + 10 - 3x = 120
2x + 10 = 120
add -10 to each side
2x = 120 -10
2x = 110
divide each side by 2
x = 55
x + 2 = 57
The two numbers are 55 and 57

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Write down and slove the following equation for the following

Find two consecutive odd numbers so that difference between 5 times the larger number and 3 times the smaller number is 120
--------------
using n and n+2:
5(n+2) - 3n = 120
2n = 110
n = 55
--> 55 & 57
===============

Answer by fractalier(6550)   (Show Source): You can put this solution on YOUR website!
Call the smaller number, x. Then the next odd number is x+2. Then we write
5(x+2) - 3x = 120
Now solve for x.
5x + 10 - 3x = 120
2x + 10 = 120
2x = 110
x = 55 so that
x+2 = 57
Your numbers are 55 and 57.
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