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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.

User PRiera
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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

User Tddmonkey
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