Ernie Jackie Ozzy and George are the infielders on a baseball team.The total of their ages is 115.Jackie is 12 more than 1/2 of Ernie's age. Ozzy is 10 years younger than Ernie.George is half the sum of Ernie's age and 10.
Let
x ----> Ernie's age
y ----> Jackie's age
z ---> Ozzy's age
w ---> George's age
we have that
x+y+z+w=115 ------> equation A
y=(1/2)x+12 ------> equation B
z=x-10 -----> equation C
w=(1/2)(x+10) ------> equation D
Solve the system of equations
Solve by substitution
substitute equation B, C and D in equation A
so
x+(0.5x+12)+(x-10)+(0,5x+5)=115
solve for x
Combine like terms
3x+7=115
3x=115-7
3x=108
x=36
Find the value of y
y=(0.5x+12)
substitute the value of x
y=0.5*36+12
y=30
Find the value of z
z=x-10
z=36-10
z=26
Find the value of w
w=(1/2)(x+10)
w=0.5(36+10)
w=0.5(46)
w=23
therefore
Ernie's age is 36
Jackie's age is 30
Ozzy's age is 26
George's age is 23