Question

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

Answer 1

Answer:

Rita 's age -72

Latha 's age -24

Step-by-step explanation:

Let's take Latha's age as x

Rita's age =3×x=3x

Eight years ago

---------------------

Latha's age x-8

Rita's age 3x-8

3x-8=4×(x-8)

=3x-8= 4x-32

x=24

3x=24×3

=72

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Answer 2

Given: 

• Rita's age now is thrice the age of Latha. Eight years ago, Rita age was four times the age of Latha.

To find:

• Their present ages

⠀⠀

Solution:

❍ Let's Consider, the present age of Latha be x years. Then, Rita's age would be 3x years. i.e Rita age now is thrice the age of Latha.

• Eight years ago, the Rita age was four times the age of Latha.

⌑ Eight years ago, their ages:

• Latha's age = (x – 8) years
• Rita's age = (3x – 8) years

$\begin{gathered}:\implies\sf Rita's \; age = 4\Big\{Latha's\;age\Big\}\\\end{gathered}$

$\begin{gathered}:\implies\sf \Big\{3x - 8\Big\}= 4\Big\{x - 8\Big\}\\\end{gathered}$

$\begin{gathered}:\implies\sf 3x - 8 = 4x - 32\\\end{gathered}$

$\begin{gathered}:\implies\sf 3x - 4x = -32 + 8\\\end{gathered}$

$\begin{gathered}:\implies\sf \cancel{-}\;x= \cancel{-}\; 24\\\end{gathered}$

$\begin{gathered}:\implies\underline{\boxed{\frak{x = 24}}}\;\pink \bigstar\\\end{gathered}$

Therefore,

• Present age of Latha, x = 24 years
• Present age of Rita, 3x = 3(24) = 72 years

⠀Hence, present age of Latha and Rita is 24 years, 72 years respectively.