Question

the present age of ramu father is there times that of ramu .after five years the sum of their age would be 70 years . find their present age​

Answer 1

Correct Question :

The present age of ramu father is three times that of ramu .After five years the sum of their age would be 70 years . Find their present ages .

Given :

• Present age of Ramu's father is three times that of ramu .
• After 5 years the sum of their ages will be 70 years .

To Find :

• Present Ages .

Solution :

$\longmapsto\tt{Let\:Present\:age\:of\:Ramu\:be=x}$

As Given that present age of ramu's father is three times that of Ramu . So ,

$\longmapsto\tt{Ramu's\:Father=3x}$

After 5 years :

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

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

A.T.Q :

$\longmapsto\tt{x+5+3x+5=70}$

$\longmapsto\tt{4x+10=70}$

$\longmapsto\tt{4x=70-10}$

$\longmapsto\tt{4x=60}$

$\longmapsto\tt{x=\cancel\dfrac{60}{4}}$

$\longmapsto\tt\bf{x=15}$

Value of x is 15 ..

Therefore :

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

$\longmapsto\tt\bf{15\:yrs}$

$\longmapsto\tt{Present\:Age\:of\:His\:Father=3(15)}$

$\longmapsto\tt\bf{45\:yrs}$

Answer 2

Step-by-step explanation:

Given:-

• The present age of Ramu 's father is three times that of Ramu.
• after five years the sum of their age would be 70years

To find:-

present age s of them

Solution:-

Let

Ramu 's present age =x

${:}\mapsto$Ramu 's father's present age=3x

• After five years

Ramu 's age=(x+5)

Ramu 's father's age=(3x+5)

• According to the question

$(x+5)+(3x+5)=70$

${:}\mapsto$$x+5+3x+5=70$

${:}\mapsto$$x+3x+5+5=70$

${:}\mapsto$$4x+10=70$

${:}\mapsto$$4x=70-10$

${:}\mapsto$$4x=60$

${:}\mapsto$$x={\dfrac{60}{4}}$

${:}\mapsto$$x=15$

• Ramu 's present age=x=15years
• Ramu's father's present age=3x=3×15=45years