Question

Emple 7: The present age of Sahil's mother is three times the present age of Sahil
After 5 years their ages will adulto 66 years. Find their present ages.
Solution: Sahil​

Answer 1

Answer:

Assume present age of sahil be x<br> Present age of his mother will be 3x<br> after 5 years <br> sahil age=x+5<br> his mothers age =3x+5.<br> According to question<br> (x+5)+(3x+5)=66<br> 4x+10=66<br> 4x=56<br> x=14<br> sahil present age=14 years<br> his mother present age= 42 years.

Answer 2

Given :

• Present Age of Sahil's Mother is three times the present age of Sahil .
• After 5 years their ages will add up to 66 years .

To Find :

• Present age of Sahil and his mother .

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Sahil\:be=x}$

As Given that Present Age of Sahil's Mother is three times the present age of Sahil . So ,

$\longmapsto\tt{Present\:Age\:of\:his\:mother=3x}$

After 5 years :

$\longmapsto\tt{Age\:of\:Sahil=x+5}$

$\longmapsto\tt{Age\:of\:Sahil's\:mother=3x+5}$

A.T.Q :

$\longmapsto\tt{x+5+3x+5=66}$

$\longmapsto\tt{4x+10=66}$

$\longmapsto\tt{4x=66-10}$

$\longmapsto\tt{4x=56}$

$\longmapsto\tt{x=\cancel\dfrac{56}{4}}$

$\longmapsto\tt\bf{x=14}$

Value of x is 14 ..

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Sahil=x}$

$\longmapsto\tt\bf{14\:yrs}$

$\longmapsto\tt{Present\:Age\:of\:Sahil's\:mother=3(14)}$

$\longmapsto\tt\bf{42\:yrs}$