the sum of two numbers is 31. twice the lesser number is 6 less than twice the greater number. what are the numbers? Help?
i think the equation looks like this but I don't know for sure...(x*2-6)+(x*2)=31
Help please
i think the equation looks like this but I don't know for sure...(x*2-6)+(x*2)=31
Help please
Efrenilo
Let x - greater number and y- lesser number
"The sum of two numbers is 31" so
x+y =31 <--eq.1
"twice the lesser number is 6 less than twice the greater number" so
2y = 2x - 6 or by simplifying:
y = x-3 <--eq.2
We can now solve for x&y:
Substituting eq.2 to eq.1:
x+y =31
x+(x-3) =31
2x - 3 =31
2x = 34
x = 17
Therefore,
y = 14
The numbers are 17 and 14 <--ANSWER
alex
x, y are 2 numbers , with x>y
x+y =31 and 2y = 2x - 6
solve for x , y