A says to B "my present age is Five times your that age when I was an old as you are now". If the sum of their present ages is 48 years, find their present ages.

Asked by Petulla Mishra | 21st Jul, 2015, 07:36: PM

Expert Answer:

L e t space x space a n d space y space b e space t h e space p r e s e n t space a g e s space o f space A space a n d space B. G i v e n space t h a t space x plus y equals 48... left parenthesis 1 right parenthesis A g e space d i f f e r e n c e space b e t w e e n space A space a n d space B equals x minus y... left square bracket a s space x greater than y right square bracket A l s o space t h a t comma space A apostrophe s space p r e s e n t space a g e space i s space f i v e space t i m e s space B apostrophe s space a g e space x minus y space y e a r s space b e f o r e. rightwards double arrow x equals 5 open parentheses y minus open parentheses x minus y close parentheses close parentheses rightwards double arrow x equals 5 open parentheses y minus x plus y close parentheses rightwards double arrow x equals 5 open parentheses 2 y minus x close parentheses rightwards double arrow x equals 10 y minus 5 x rightwards double arrow 6 x minus 10 y equals 0... left parenthesis 2 right parenthesis S o l v i n g space e q u a t i o n s space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space h a v e comma x equals 30 space a n d space y equals 18 T h u s comma space t h e space p r e s e n t space a g e s space o f space A space a n d space B space a r e space 30 space a n d space 18.

Answered by Vimala Ramamurthy | 22nd Jul, 2015, 10:17: AM