Question

The sum of Ellie's age and Genya's age is 60. In six years, Genya will be eight times as old as Ellie. How old is Ellie now?

Answer 1

2

Explanation:

Let Ellie's age ⇒⇒⇒ x

And Genya's age ⇒⇒⇒ y

∵ The sum of Ellie's age and Genya's age is 60

∴ x + y = 60 ⇒ (1)

∵ In six years, Genya will be eight times as old as Ellie

∴ (y + 6) = 8 (x+6)

∴ y + 6 = 8x + 48 subtract 6 from both sides

∴ y = 8x + 42 ⇒ (2)

By substituting from 2 at 1 with the value of y

∴ x + (8x + 42) = 60

∴ 9x = 60 - 42 = 18

∴ x = 18/9 = 2

∴ y = 60 - x = 58

So, Ellie's age now = 2 years old

And Genya's age = 58 years old

Answer 2

2 years old

Explanation:

Let Ellie's age ⇒⇒⇒ x

And Genya's age ⇒⇒⇒ y

∵ The sum of Ellie's age and Genya's age is 60

∴ x + y = 60 ⇒ (1)

∵ In six years, Genya will be eight times as old as Ellie

∴ (y + 6) = 8 (x+6)

∴ y + 6 = 8x + 48 subtract 6 from both sides

∴ y = 8x + 42 ⇒ (2)

By substituting from 2 at 1 with the value of y

∴ x + (8x + 42) = 60

∴ 9x = 60 - 42 = 18

∴ x = 18/9 = 2

∴ y = 60 - x = 58

So, Ellie's age now = 2 years old

And Genya's age = 58 years old