Find three conecutive integers such that third is one and a half times the first. I am having a dobt in this problem. please tell me the solution to the problem also please let me know the procedure.        THANKING YOU 

Asked by Shobhit | 5th Sep, 2015, 11:27: PM

Expert Answer:

W e space n e e d space t o space t a k e space 3 space c o n s e c u t i v e space i n t e g e r s. L e t space n space b e space a n space i n t e g e r. T h e space p r e d e c e s s o r space o f space n space i s space n minus 1. A n d space t h e space s u c c e s s o r space o f space n space i s space n plus 1. G i v e n space t h a t space t h r i d space i n t e g e r space i s space 3 over 2 space t i m e s space t h e space f i r s t. rightwards double arrow n plus 1 equals 3 over 2 open parentheses n minus 1 close parentheses rightwards double arrow 2 open parentheses n plus 1 close parentheses equals 3 open parentheses n minus 1 close parentheses rightwards double arrow 2 n plus 2 equals 3 n minus 3 rightwards double arrow 3 n minus 2 n equals 3 plus 2 rightwards double arrow n equals 5. T h u s comma space t h e space t h r e e space c o n s e c u t i v e space i n t e g e r s space a r e space 5 minus 1 comma space 5 space a n d space 5 plus 1. T h a t space i s comma space t h e space i n t e g e r s space a r e colon 4 comma 5 space a n d space 6.  C h e c k i n g space t h e space s o l u t i o n colon T h i r d space i n t e g e r space i s space 6 space a n d space t h e space f i r s t space i n t e g e r space i s space 4. N o w space c o n s i d e r space 3 over 2 t i m e s space o f space 4 equals 3 over 2 cross times 4 equals 12 over 2 equals 6 T h u s comma space 3 over 2 t i m e s space o f space f i r s t space i n t e g e r space i s space t h r i d space i n t e g e r.

Answered by Vimala Ramamurthy | 6th Sep, 2015, 09:11: AM