Question

School X and School Y play each other in a competition. School X has eight more points than School Y. School X has three times as many points as School Y How many points does each school have?

Answer 1

Let point's possessed by school A = x

and point possessed by School B = y

And the statement given Regarding the school are :

School X has eight more points than School Y. School X has three times as many points as School Y .

Writing these statements in terms of equation

1. x = y + 8

2. x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y - y = 8

2 y= 8

y =
`(8)/(2)=4`

As , x= y + 8 gives x = 4 + 8 = 12

Point possessed by School A = 12 points

Points possessed by school B = 4 points