Question

During the​ women's basketball championship​ game, team a scored 4 more points than team
b.​ together, both teams scored a total of 154 points. how many points did the champion team a score during this​ game?

Answer 1

Sum and difference problem.
Larger number (team a) = (sum+difference)/2 = (154+4)/2 =79
Smaller number (team b)=(sum-difference)/2 = (154-4)/2 = 75

Answer 2

Let

x--------> number of points scored by the team a

y--------> number of points scored by the team b

we know that

$x+y=154$ ---------> equation $1$

$x=y+4$ ---------> equation $2$

substitute the equation $2$ in the equation $1$

$(y+4)+y=154$

Combine like terms

$y+y=154-4$

$2y=150$

$y=150/2$

$y=75\ points$

Find the value of x

$x=y+4$

$x=75+4$

$x=79\ points$

therefore

the answer is

The number of points scored by the team a was $79\ points$