SOLUTION: Translate into an equation and solve. (Use n to represent the smaller number.) The sum of two numbers is eighteen. Four times the smaller is equal to two times the larger. Th

Question 482452: Translate into an equation and solve. (Use n to represent the smaller number.)
The sum of two numbers is eighteen. Four times the smaller is equal to two times the larger.
The sum of two numbers is eleven. Five less than three times the smaller is equal to the larger.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
n = the smaller number
m = the larger
:
Write an equation for each statement:
:
The sum of two numbers is eighteen.
m + n = 18
:
Four times the smaller is equal to two times the larger.
4n = 2m
We can simplify, divide both sides by 2
2n = m
replace m with 2n in the 1st equation
2n + n = 18
3n = 18
n =
n = 6
I'll let you figure out what m is, check your solutions in both equations
:
:
The sum of two numbers is eleven.
m + n = 11
:
Five less than three times the smaller is equal to the larger.
3n - 5 = m
In the 1st equation replace m with (3n-5)
3n - 5 + n = 11
3n + n = 11 + 5
4n = 16
n =
n = 4
I'll let you find m, check your solutions in both equations
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