Question
Sat March 28, 2015 By: Jerlin George

Khushboo said to Chetna, "On your first birthday, I was as old as you are now". If Khushboo's present age is 47 years, then after how many years will Khushboo's age be one and a half times that of Chetna?

Expert Reply
Vimala Ramamurthy
Mon March 30, 2015
L e t space x space b e space t h e space p r e s e n t space a g e space o f space c h e t n a. W h e n space c h e t n a space i s space 1 space y e a r space o l d comma space K u s h b o o apostrophe s space a g e space i s space x. W h e n space c h e t n a space i s space x space y e a r s space o l d. space K u s h b o o apostrophe s space a g e space i s space 47. T h u s comma space t h e space d i f f e r e n c e space s h o u l d space b e space t h e space s a m e. H e n c e comma space x minus 1 equals 47 minus x rightwards double arrow 2 x equals 48 rightwards double arrow x equals 24 T h u s comma space t h e space p r e s e n t space a g e space o f space C h e t n a space i s space 24 space y e a r s. L e t space t h e space t i m e space p e r i o d space b e space t space y e a r s. T h e n space f r o m space t h e space g i v e n space s t a t e m e n t comma space w e space h a v e comma 47 plus t equals 3 over 2 open parentheses 24 plus t close parentheses rightwards double arrow 2 open parentheses 47 plus t close parentheses equals 3 open parentheses 24 plus t close parentheses rightwards double arrow 94 plus 2 t equals 72 plus 3 t rightwards double arrow 94 minus 72 equals 3 t minus 2 t rightwards double arrow 22 equals t T h u s space a f t e r space 22 space y e a r s comma space K u s h b o o apostrophe s space a g e space w i l l space b e space 3 over 2 space t i m e s space t h a t space o f space C h e t n a.
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