Question

Q 5. The present age of Sahil's mother is three times the present age of Sahil. After 5 years their ages will add to 66
years. Find their present age ​

Answer 1

Answer:

the answer is 14 and 42 as given above in the photo

Answer 2

Given :

• Present Age of Sahil's mother is three times of the present age of Sahil.
• After 5 years their sum of ages will be 66 years.

To Find :

• Present Age of Sahil and his mother.

Solution :

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

$\longmapsto\tt{Present\:Age\:of\:Sahil's\:Mother=3x}$

After 5 years :

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

$\longmapsto\tt{Age\:of\:Mother=3x+5}$

A.T.Q :

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

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

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

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

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

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

Value of x is 14...

Therefore :

$\longmapsto\tt\bold{Present\:Age\:of\:Sahil=14\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Mother=3(14)}$

$\longmapsto\tt\bold{42\:yrs.}$