Solution
Let the total score by all the team members is \(t\) and the total score by the other 7 members is \(x\).
From the given information we can get,
\(\frac{t}{4}+\frac{2 t}{7}+15+x=t\)........(i)
We also get from the information, \(x \leq 14\)
Simplifying eq (i),
\(x+15=\frac{13}{28} t\)
So, \(28 x+28 \cdot 15=13 t\)
Since \(t\) is necessarily divisible by 28.
Let \(t=28 y\), where \(y \geq 0\) and divided by 28.
So, \(x+15=13 y\)......(ii)
It is clear that, \(y=2\).
Then \(t\) will be 56.
So, from eq (ii), value of \(x\) will be 11.
.
.