Question

Sam's age is three times his son's age. Ten years ago he was five time his son's age. What is sam's present age?

Answer 1

Answer:

Sam's present age is 60 years

Step-by-step explanation:

Let us assume that the present age of Sam and his son's are x and y respectively.

By the given condition,

x = 3y ..... (1)

10 years ago, age of Sam was (x - 10) years and that of his son's was (y - 10) years.

By the given condition,

x - 10 = 5 (y - 10)

or, 3y - 10 = 5y - 50 , by (1)

or, 5y - 3y = 50 - 10

or, 2y = 40

or, y = 40 / 2

or, y = 20

Thus x = 3 * 20 = 60

Therefore Sam's present age is 60 years