Question

$5$ years from when Ram was $5$ year old, Shyam was $5$ times the age of Ram. Present age of Shyam is $3$ times that of Ram. Find present age of Ram and Shyam (in years)

• A. $10,30$
• B. $20,60$
• C. $30,90$
• D. $15,45$

Answer 1

The correct option is A ($10,30$)

Given: $5$ years back, Ram's age $5$ and Shyam's age $5\times 5=25$

At present, Shyam's age 3 times that of Ram, i.e, after $5$ years,
Shyam's age $=25+5=30$

Which means Ram present age $=\frac{1}{3}$ of Shyam present age.
$=\frac{1}{3}\times 30$
$=10$

Therefore, the present age's of Ram and Shyam are $10$ years and $30$ years respectively.