Ellie's age = 58 years
Genya's age = 2 years
Step-by-step explanation:
Let e represent Ellie's age
and
g be Genya's Age
Then
[tex]e+g = 60\ \ \ Eqn1[/tex]
In six years
Ellie will be e+6 years old and Genya will be g+6 years old
then
[tex]g+6 = 8(e+6)\\g+6 = 8e+48\\g = 8e+48-6\\g = 8e+42\ \ \ Eqn2[/tex]
Putting g= 8e+42 in equation 1
[tex]e+8e+42 = 60\\9e +42 -42 = 60-42\\9e = 18[/tex]
Dividing both sides by 9
[tex]\frac{9e}{9} = \frac{18}{9}\\e=2[/tex]
Putting e = 2 in equation 1
[tex]e+g = 60\\2+g = 60\\g = 60-2\\g = 58[/tex]
Hence,
Ellie's age = 58 years
Genya's age = 2 years
Keywords: Linear equations, variables
Learn more about linear equations at:
- brainly.com/question/6465937
- brainly.com/question/6431715
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