SOLUTION: translate to a system of equations and solve. the sum of two numbers is 27. one half of the first number plus one third of the second number is 11. find the numbers

Algebra.Com
Question 4993: translate to a system of equations and solve.
the sum of two numbers is 27. one half of the first number plus one third of the second number is 11. find the numbers
Answer by xcentaur(357)   (Show Source): You can put this solution on YOUR website!
let the numbers be x and y
x+y=27.........[1]


one half of the first number plus one third of the second number is 11
1/2x+1/3y=11
(3x+2y)/6=11
3x+2y=66........[2]


x+y=27
multiply by 2
2x+2y=54.......[1]
3x+2y=66.......[2]


subtracting eqn 2 from 1 we get
2x+2y=54
3x+2y=66


-x=-12
x=12


y=27-x=27-12=15


Hence the numbers are:
12,15

RELATED QUESTIONS

translate to a system of equations and solve The sum of two numbers is 27. One half... (answered by stanbon)
The sum of two numbers is 27. one half of the first number plus one third of the second... (answered by jim_thompson5910)
THE SUM OF TWO NUMBERS IS 27. ONE HALF OF THE FIRST NUMBER PLUS ONE THIRD OF THE SECOND... (answered by checkley77)
The sum of two numbers is 27. One half of the first number plus one third of the second... (answered by edjones)
The sum of two numbers is 27. One half of the first number plus one third of the second... (answered by haileytucki,mananth,richard1234)
The sum of two numbers is 27. One of the numbers is three and a half times more than the... (answered by stanbon)
Translate to a system of equations and solve. (Enter your answers as a comma-separated... (answered by Boreal)
Translate to a system of equations and solve. (Enter your answers as a comma-separated... (answered by Boreal)
Translate this situation into a system of equation of the first degree in two clear... (answered by mananth)