Question

The present age of rams mother is three times the present age of ram. after 5 years their ages will add to 66 years . Find their present ages.

Answer 1

Answer:

42 and 14

Step-by-step explanation:

Let Ram's age = x

Ram's Mother age = 3x

After 5 years , 3x + 5 + x + 5 = 66

4x + 10 = 66

x = 14

Present Ages = 42 and 14

Answer 2

Given :

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

To Find :

• Present Ages of Ram and his mother .

Solution :

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

As Given that the present age of Ram's mother is three times the present age of Ram. So ,

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

After 5 years :

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

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

A.T.Q :

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

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

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

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

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

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

Value of x is 14 .

Therefore :

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

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

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

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