Question

after 10 years age will become three times that of her present age what is the ratio between the present age and and her age after 5 years ​

Answer 1

$\Large\bold{\underline{\underline{Solution:-}}}$

$\textbf{Required ratio = \dfrac{1}{2} }$

$\textbf{\underline{According to Question}}$

Let the present age be x years.

After 10 years her age will be

= (x + 10) years

$\large{\textbf{\underline{Solution:-}}}$

$( x + 10 ) = 3x$

$x + 10 = 3x$

$3x - x = 10$

$2x = 10$

$x = \dfrac{10}{2}$

$x = 5 years$

Present age will be 5 years.

Her age after 5 years = ( 5 + 5) years

= 10 years

Now ,

$\textbf{Required ratio}$ =

$\dfrac{\text{Present age }}{\text{Age after 5years}}$

$\textbf{Required ratio = \dfrac{5}{10} }$

$\textbf{Required ratio = \dfrac{1}{2} }$

Answer 2

$\bold{\underline{\underline{\large{\sf{Answer:}}}}}$

Ratio of present age and age after 5 years = 1:2.

$\bold{\underline{\underline{\large{\sf{Step\:by\:step\:explanation:}}}}}$

GIVEN :

• After 10 years age will become three times that of her present age

TO FIND :

• Ratio between the present age and Her age after 5 years.

SOLUTION :

Let the present age be x years.

$\bold{\underline{\underline{\sf{As\:per\:the\:given\:condition:}}}}$

• After 10 years age will become three times that of her present age

Since its given after 10 years age will become three times that of her present age therefore, her after 10 years will be present (x) plus 10.

Constitute the condition mathematically,

Age after 10 years :

x + 10 years

$\rightarrow$ $\bold{x+10\:=\:3x}$

$\rightarrow$ $\bold{x-3x=10}$

$\rightarrow$ $\bold{2x=10}$

$\rightarrow$ $\bold{x\:=\:{\dfrac{10}{2}}}$

$\rightarrow$ $\bold{x=5}$

Present age = 5 years

Since we now have to find the ratio of her present age and age after 5 years we need to calculate her age after 5 years, too.

Age after 5 years :

Her age after 5 years will be sum of present age (x) and 5.

$\rightarrow$ $\bold{x+5}$

$\rightarrow$ $\bold{5+5}$

$\rightarrow$ $\bold{10}$

•°• Her age after 5 years will be 10 years.

Ratio :

$\rightarrow$ $\bold{\dfrac{x}{x+5}}$

$\rightarrow$ $\bold{\dfrac{5}{10}}$

$\rightarrow$ $\bold{\dfrac{1}{2}}$

•°• Ratio of present age and her age after 5 years = 1:2.