Question

The diffrence between two numbers is 20 .If one no. Is one third of the other find the two no.

Answer 1

10 and 30

Explanation:

let the 2 nubers be x and y with x > y , then difference is 20 , that is

x - y = 20 → (1)

given one number is third of the other , then

y =
`(1)/(3)` x ( since x is greater than y )

substitute y =
`(1)/(3)` x into (1)

x -
`(1)/(3)` x = 20 ( multiply through by 3 )

3x - x = 60 , that is

2x = 60 ( divide both sides by 2 )

x = 30

and
`(1)/(3)` × 30 = 10

the 2 numbers are 10 and 30