Question

Sam and Alex plays in the same soccer team. Last saturday Alex scored $3$ more goals than Sam, but together they scored less than $9$ goals. The possible number of goals that Alex scored?

• A. $2$
• B. $3$
• C. $4$
• D. $6$

Answer 1

Answer: (B), (C)

$4$

Let Goals scored by Alex $=A$
and Goals scored by Sam $=S$
As per the question
$A=S+\mathrm{3..}\left(1\right)$
$S+A<\mathrm{9...}\left(2\right)$
$\Rightarrow S+(S+3)<9\Rightarrow 2S<6$
$\Rightarrow S<3$
So, $S=0,1,2$
Hence, $A=3,4,5$