Question

kaun

Rita age is now thrice the age of latha.eight years ago rita's age was 4 times the age of latha.find their present ages.​

Answer 1

Given :

Rita age now is thrice the age of Latha .

Eight years ago Rita age was 4 times the age of Latha .

To Find :

Present Age of Rita and Latha .

Solution :

$\longmapsto\tt{Let\:present\:age\:of\:Latha\:be=x}$

As Given that Rita age now is thrice the age of Latha . So ,

$\longmapsto\tt{Rita's\:Age=3x}$

Before 8 years :

$\longmapsto\tt{Age\:of\:Latha=x-8}$

$\longmapsto\tt{Age\:of\:Rita=3x-8}$

A.T.Q :

$\longmapsto\tt{3x-8=4(x-8)}$

$\longmapsto\tt{3x-8=4x-32}$

$\longmapsto\tt{3x-4x=-32+8}$

$\longmapsto\tt{-x=-24}$

$\longmapsto\tt\bf{x=24}$

Therefore :

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

$\longmapsto\tt\bf{24\:yrs}$

$\longmapsto\tt{Present\:Age\:of\:Rita=3(24)}$

$\longmapsto\tt\bf{72\:yrs}$