the sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie will be. how old is ellie now



Answer :

The sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie now ellie old is 2 years.

Given:

the sum of ellies's age and genya's age is 60. in six years, genya will be eigth times as old as ellie will be.

Let x and y be the ellie's and genya's ages.

x + y = 60

After 6 years x+6 and y +6.

8(x + 6) = y + 6

8x + 48 = y + 6

8x + 42 = y

8x - y = -42

sum of two equations

x + y + 8x - y = 60 + (-42)

x + 8x = 60 - 42

9x = 18

divide by 9 on both sides

9x/9 = 18 / 9

x = 2

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