Question

Paige is half as old as Quiana. Quiana is three years younger than Ryan. Ryan is nine years older than Paige.

How old are Paige, Quiana, and Ryan? plsss hurry

Answer 1

Paige's age = 6 years

Ryan's age = 15 years

Quiana's age = 12 years

Explanation:

Framing algebraic equations to find the unknown value:

Let age of Paige be 'x'.

Ryan is nine years older than Paige. So, to find Ryan's age add 9 to 'x'.

Ryan's age = x + 9

As Quiana is 3 years younger than Ryan, subtract 3 from Ryan's age.

Quiana's age = (x + 9) - 3

= x + 9 - 3

= x + 6

Paige's age = half of Quiana

`x = (x + 6)/(2)\\\\\text{\bf cross multiply,}\\\\2x = x +6`

2x - x = 6

x = 6

Paige's age = 6 years

Ryan's age = 6 + 9

= 15 years

Quiana's age = 6 + 6

= 12 years