Question

five years ago arman's uncle was three times as old as arman . ten years from now his uncle will be twice as old as arman. what are the present ages of arman and his uncle ????

Answer 1

Let the Arman's age be x and age of his uncle be y.

As the First case, Five years ago.

»Arman's age = (x - 5)

»Arman's uncle age = (y - 5)

→ 3(x - 5) = (y - 5)

→ 3x - 15 = y - 5

→ 3x - y = 10 [..1]

As the Second case, Ten years from now.

»Arman's age = (x + 10) years

»Arman's uncle age = (y + 10) years

→ 2(x + 10) = (y + 10)

→ 2x + 20 = y + 10

→ 2x - y = -10 [..2]

After Calculating, [1] and [2] Equations, we have got that x = 20.

→ 2x - y = -10

→ 2 × 20 - y = -10

→ 40 + 10 = y

→ y = 50

Hence,

The Age of Arman is 20 years and his uncle's age will be 50 years.