Question

raju is 19 years younger than his cousin.After 5 years he will be 6 times his cousin's age.find their present years​

Answer 1

first of all as on the place of younger it would be older be

$present \: \: age \\ raju \: cousin \: x \\ raju \: \: \: x + 19$

$after \: \: 6 \: \: years \\ raju \: cousin \: x + 6 \\ raju \: x + 19 + 6 \: \: or \: \: 6(x + 6)$

$6(x + 6) = x + 6 + 19 \\ 6x + 36 = x + 25 \\ 6x - x = 25 - 36 \\ 5x = - 11 \\ x = \frac{ - 11}{5}$

$present \: age \\ raju \: cousin \: x = \frac{11}{5} = 2 \frac{1}{5} \\ raju = x + 19 = 2 \frac{1}{5 } + 19 = 21 \frac{1}{5}$