Question

Present ages of Anu and Raj are in the ratio 4:5 . Eight years from now the ratio of the ages will be 5:6. Find their present ages​

Answer 1

Given :

Present ages of Anu and Raj are in the ratio 4:5 .

Eight years from now the ratio of the ages will be 5:6.

To Find :

Present Age of Anu and Raj .

Solution :

$\longmapsto\tt{Let\:Present\:age\:of\:Anu\:be=4x}$

$\longmapsto\tt{Let\:Present\:age\:of\:Raj\:be=5x}$

After 8 years :

$\longmapsto\tt{Age\:of\:Anu=4x+8}$

$\longmapsto\tt{Age\:of\:Raj=5x+8}$

A.T.Q :

$\longmapsto\tt{\dfrac{4x+8}{5x+8}=\dfrac{5}{6}}$

$\longmapsto\tt{6(4x+8)=5(5x+8)}$

$\longmapsto\tt{24x+48=25x+40}$

$\longmapsto\tt{24x-25x=40-48}$

$\longmapsto\tt{-1x=-8}$

$\longmapsto\tt\bf{x=8}$

Value of x is 8 .

Therefore :

$\longmapsto\tt{Present\:age\:of\:Anu=4(8)}$

$\longmapsto\tt\bf{32\:yrs}$

$\longmapsto\tt{Present\:age\:of\:Raj=5(8)}$

$\longmapsto\tt\bf{40\:yrs}$

Answer 2

Step-by-step explanation:

Hopefully the above attachment will help