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?

- 2
- 3
- 4
- 6

Solution

The correct options are

**B** 3

**C** 4

Let Goals scored by Alex =A

and Goals scored by Sam =S

As per the question

A=S+3..(1)

S+A<9...(2)

⇒S+(S+3)<9⇒2S<6

⇒S<3

So, S=0,1,2

Hence, A=3,4,5

Let Goals scored by Alex =A

and Goals scored by Sam =S

As per the question

A=S+3..(1)

S+A<9...(2)

⇒S+(S+3)<9⇒2S<6

⇒S<3

So, S=0,1,2

Hence, A=3,4,5

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