Question

5 year ago rama's mother's age was 5 times more than her age. after 10 year, ram's age is half of her mother's age, then what is current age of rama?

Answer 1

let age of Rama be x. let age of rama mother be y. five year ago.. age of Rama ( x-5 ). age of mother (y-5). (y-5)=5(x-5) . y-5 = 5x-25 . -5+25=5x-y. 5x-y = 20----------(1) after 10 year age of Rama =( x+10). after 10 year age of Rama mother= (y+10) (y+10)=2(x+10). y+10=2x+20. 2x-y= -10.- - - - - - - - - -(2) from the equation first and second. 5x-y=20. 2x-y = -10. by elimination method. age of Rama = 10. age of mother =30