Question

The sum of Ellie’s ages an Genya’s age is 60. In 6 years, genus will be 8 times as old as Ellie. How old is Ellie now?

Answer 1

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

$e+g = 60\ \ \ Eqn1$

In six years

Ellie will be e+6 years old and Genya will be g+6 years old

then

$g+6 = 8(e+6)\\g+6 = 8e+48\\g = 8e+48-6\\g = 8e+42\ \ \ Eqn2$

Putting g= 8e+42 in equation 1

$e+8e+42 = 60\\9e +42 -42 = 60-42\\9e = 18$

Dividing both sides by 9

$\frac{9e}{9} = \frac{18}{9}\\e=2$

Putting e = 2 in equation 1

$e+g = 60\\2+g = 60\\g = 60-2\\g = 58$

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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