Eve has two more marbles than Solene.
Solene has twice as many marbles as Steve.
Steve has 7 less marbles than Eve.
How many marbles do they have between them?
Suppose Eve has x marbles, Solene has y marbles,
and Steve has z marbles.
>>...Eve has two more marbles than solene...<<
So Eve's marbles = Solene's marbles + 2 marbles, or
x = y + 2
>>...Solene has twice as many marbles as Steve...<<
So Solene's marbles = 2 times Steve's marbles, or
y = 2z
>>...Steve has 7 less marbles than Eve...<<
So Steve's marbles = Eve's marbles - 7 marbles, or
z = x - 7
So now you have the system of equations:
x = y + 2
y = 2z
z = x - 7
Can you solve that system? If not post again.
Answer to system: (x, y, z) = (12, 10, 5)
However, the question was not "How many does each have?"
but:
>>...How many marbles do they have between them?...<<
So we add 12 + 10 + 5 and get 27 marbles between them.
Edwin
AnlytcPhil@aol.com