Question

The ratio between the present ages of India and Lizzy is $3:8$, respectively. After $8$ years, Indira's age will be $20$ years. What was Lizzy's age $5$ years ago.

• A. $37years$
• B. $27years$
• C. $28years$
• D. $38years$

Answer 1

Answer: (B)

$27years$

Let present age of Dudira and and Lizzy be $3x$ years and $8x$ years respectively.

After $8$ years ,Dudira’s age $=(3x+8)$ years

Now, $3x+8=20$

Or, $3x=12\Rightarrow x+4$

$\therefore$ Lizzy’s present age $=8\times 4=32years$

$5$ years ago, lizzy's age $=32-5=27years$