Question

i am 3 times as old as my son . five years later, i shall be two and a half tes as old as my son . how old am i and how old is my son

Answer 1

Let my age and son's age be x and y years.
Given, x = 3y
x + 5 = 5(y + 5)/2
=> 3y + 5 = 5(y + 5)/2 = (5y + 25)/2
=> 6y + 10 = 5y + 25
=> y = 15
x = 3 X 15 = 45
Hence, my age and son's age are 45 years and 15 years.

Answer 2

$\huge\boxed{Answer :}$

Let my age be x years and son's age be y years.

According to question;

I am (x) three times as old as my son (3y). Means;

$\textbf{x = 3y}$ ......(1)

5 years later, means plus (+)

I (x) shall be two and half (1/2) times as old as my son (y).

Means;

$\textbf{x + 5 = 5(y + 5)/2}$

x + 5 = (5y + 25)/2

2x + 10 = 5y + 25

2 (3y) + 10 = 5y + 25

6y + 10 = 5y + 25

6y - 5y = 25 - 10

$\textbf{y = 15}$

Put value of y in (1)

x = 3y

x = 3 (15)

$\textbf{x = 45}$

$\huge{My\:age\:= x\:=\:45\:years}$

and

$\huge{Son's\:age\:= y\:= 15\:years}$
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