Question

the ages of riya and riyan are in the ratio 3:5.four years from now their ages will be 5:7.find their present ages.
please answer fast
i will make it brainlist​

Answer 1

Given :

• Ages of Riya and Riyan are in the ratio 3:5 .
• After 4 years their ages will be in the ratio 5:7 .

To Find :

• Present Age of Riya and Riyan .

Solution :

$\longmapsto\tt{Let\:Present\:Age\:of\:Riya=3x}$

$\longmapsto\tt{Let\:Present\:Age\:of\:Riyan=5x}$

After 4 years :

$\longmapsto\tt{Age\:of\:Riya=3x+4}$

$\longmapsto\tt{Age\:of\:Riyan=5x+4}$

A.T.Q :

$\longmapsto\tt{\dfrac{3x+4}{5x+4}=\dfrac{5}{7}}$

$\longmapsto\tt{7(3x+4)=5(5x+4)}$

$\longmapsto\tt{21x+28=25x+20}$

$\longmapsto\tt{21x-25x=20-28}$

$\longmapsto\tt{-4x=-8}$

$\longmapsto\tt{x=\cancel\dfrac{-8}{-4}}$

$\longmapsto\tt\bf{x=2}$

Value of x is 2...

Therefore :

$\longmapsto\tt{Present\:Age\:of\:Riya=3(2)}$

$\longmapsto\tt\bf{6\:yrs.}$

$\longmapsto\tt{Present\:Age\:of\:Riyan=5(2)}$

$\longmapsto\tt\bf{10\:yrs.}$