Answer :
Answer:
A = 15 , B = 10
Step-by-step explanation:
The mean is calculated as
• mean = [tex]\frac{sum}{count}[/tex]
given the mean of A and B is 12.5 , then
[tex]\frac{A+B}{2}[/tex] = 12.5 ( multiply both sides by 2 )
A + B = 25 → (1)
given
2A = 3B ( subtract 3B from both sides )
2A - 3B = 0 → (2)
Now solve the 2 equations simultaneously
multiplying (1) by 3 and adding the result to (2) will eliminate B
3A + 3B = 75 → (3)
add (2) and (3) term by term to eliminate B
(2A + 3A ) + - 3B + 3B ) = 0 + 75
5A + 0 = 75
5A = 75 ( divide both sides by 5 )
A = 15
substitute A = 15 into either of the 2 original equations and solve for B
substituting into (1)
A + B = 25 , so
15 + B = 25 ( subtract 15 from both sides )
B = 10
Then A = 15 and B = 10
