Question

school x and school y play in a competition. school x has 8 more points than school y. school y has 3 times more points than school y.
how many points does each school have

Answer 1

Correct question :-

School x and school y play in a competition. School x has 8 more points than school y. School x has 3 times more points than school y. How many points does each school have

Solution :-

Method 1)

Let points of school x = A

Points of school y = B

School x has 8 points more than school y.

According to question,

=> A = B + 8 ___ (eq 1)

Similarly,

School x has 3 times more points than school y.

According to question,

=> A = 3 × B

=> A = 3B ___ (eq 2)

Substitute value of A in (eq 1)

=> 3B = B + 8

=> 3B - B = 8

=> 2B = 8

=> B = 4

Substitute value of B in (eq 2)

=> A = 3(4)

=> A = 12

•°• School x has 12 points and school y has 4 points.

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Method 2)

Let points of school y be A.

So,

School x has 8 points more than school y.

Points of school x = A + 8

Also,

School x has 3 times more points than school y.

Points of school y = A

So, points of school x = 3A

According to question,

=> A + A + 8 = A + 3A

=> 2A + 8 = 4A

=> 2A = 8

=> A = 4

So,

Points of school x = 4 + 8

=> 12

•°• Points of school x is 12 and points of school y is 4.

Answer 2

Correct Question:-

school x and school y play in a competition. school x has 8 more points than school y. school x has 3 times more points than school y.

how many points does each school have

Answer:-

Points of school,

• x = 12
• y = 4

Explanation:-

Given:-

School x has 8 points more than y

Also, school x has 3 times more points than y

To Find:-

Points of school x and y

Solution:-

Let, points of school,

• x is p
• y is q

According to the question,

${\rightarrow}p = 8 +q ----(1)$

Also,

${\rightarrow}p = 3q ----(2)$

Sub. eq (2) in (1)

${\rightarrow}3q = 8 +q$

${\rightarrow}3q -q = 8$

${\rightarrow}2q = 8$

${\rightarrow}q = 4$

School 'y' has 4 points

_______________

Now,

${\rightarrow}p = 3(4)$

${\rightarrow}p = 12$

School 'x' has 12 points.