Yosief and Datan are playing soccer. Right this moment, if Yosief have 5 goals more than Datan he will have double Datan's, and if Yosief had 7 goals less he will have half the goals of Datan. How many goals does Yosief have right this instance moment?
2 Answers
Yosief has
Explanation:
My understanding of the question:
If Yosief had 5 more goals than he currently has, then he would have double the number of goals that Datan has.
If Yosief had 7 fewer goals than he currently has, then he would have half the number of goals that Datan has.
If this interpretation is incorrect then the answer (above) and the derivation (below) will be incorrect.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let
and
The given statements, converted into algebraic form would be:
[1]
[2]
Subtracting [2] from [1], we get
[3]
the simplifying:
[4]
[5]
Substituting
[6]
[7]
Giving as a final result
Is this question correct?
Explanation:
Let the number of goals by Yosief be
Let the number of goals by Datan ne
if Yosief hase 5 more goals than Datan:
he will have :
double Datan'es:
'.......................................................................................
and if Yosief had 7 goals less:
he would have:
halfe the goals of Datan:
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Write equation(2) as:
Still using equation (2)
Substitute
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
There is a contradiction in the construct leading up to equation(3)
Given that