Question

i am three time as old ad my son. five years later, i shall be two and a halt time as old as my son. how old am i and how old is my son​

Answer 1

Step-by-step explanation:

Given:-

i am three time as old ad my son. five years later, i shall be two and a halt time as old as my son.

To find:-

How old am i and how old is my son ?

Solution:-

Let the present age of Son be X years

Then, the present age of his mother = 3X years

After 5 years their ages will be

Age of son = (X+5) years

Age of mother = (3X+5) years

According to the given problem

After 5 years his mother's age shall be two and a half time as old as her son

=>(3X+5) = 2 1/2 (X+5)

=>(3X+5) = (5/2) (X+5)

=>2(3X+5) = 5(X+5)

=>6X+10 = 5X+25

=>6X-5X = 25-10

=>X = 15

and 3X = 3(15)=45 years

Answer:-

The present age of Son = 15 years

The present age of his mother = 45 years

Check:-

mother's age = 45 years

=>3×15 years

=>3 times her son's age

and

mother's age after 5 years = 45+5 = 50 years

Her son's age after 5 years = 15+5 = 20 years

50 years can be written as

=>(2×20)+10 years

=>2 1/2 times to her son's age

Verified the given relations.