Question

a person is three times older than his son. six year hence, the ratio of their ages will be 5:2 what is the present age of the person​

Answer 1

Answer: 54 yrs

Step-by-step explanation:

Let the son's age be x  years ,

Then person's age = 3x  years

∴3x+6x+6=52⇒2(3x+6)=5(x+6)⇒6x+12=5x+30⇒x=18

∴ Present age of person = 3x years

= (3 × 18) years

= 54 years

Hope it helps :)

Answer 2

Son : x
Person : 3x

6 years Hence :

Son : x + 6
Person : 3x + 6

Ratio - Person : Son : : 5 : 2

Hence,

2( 3x + 6) = 5(x +6)

= 6x + 12 = 5x + 30
=> 6x-5x = 30-12
=> x =18

Son = 18
Person = 54

Ans, Person today is 54 yrs old