SOLUTION: Hi Guys Here is my question the sum of two numbers is twice their difference, and one number is five more than the 2 numbers. find the 2 numbers. so far I have eq1 is x+y =

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Hi Guys Here is my question the sum of two numbers is twice their difference, and one number is five more than the 2 numbers. find the 2 numbers. so far I have eq1 is x+y =       Log On


   

Question 1080333: Hi Guys
Here is my question
the sum of two numbers is twice their difference, and one number is five more than the 2 numbers. find the 2 numbers.
so far I have
eq1 is
x+y = 2(x-Y)
x=3y
eq2 i'm not so sure
x= y+5
Found 2 solutions by kvijioct, josgarithmetic:
Answer by kvijioct(5) About Me  (Show Source):
You can put this solution on YOUR website!
First Condition
x+y=2(x-y)
x+y=2x-2y
x=3y------------Eqn 1.
Second Condition - This condition is not clear in the given question-one number is 5 more than the 2 numbers. I have assumed it to be 'one number is 5 more than the second number' and have solved it below.
x=y+5
3y=y+5 (Substituting for 'x' from Eqn 1)
2y=5
y=5/2=2.5
So, x=3y
=3*2.5
=7.5
So, the solution is x=7.5, y=2.5

Answer by josgarithmetic(39631) About Me  (Show Source):
You can put this solution on YOUR website!
...and one number is five more than the 2 numbers.
--------------------------------------------------------

y=5%2B%28x%2By%29, ?
y=5%2Bx%2By
0=5%2Bx
x=-5


The two numbers are x and y.
_________________________________________________
sum of two numbers is twice their difference,
_________________________________________________

x%2By=2%28y-x%29, assuming x%3Cy;
x%2By=-2x%2B2y
3x%2By=2y
3x=y


Putting the two results together,
system%28y=3x%2Cx=-5%29
y=3%28-5%29
y=-15

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system%28x=-5%2Cand%2Cy=-15%29