Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

<div class="page" title="Page 1"> <div class="layoutArea"> <div class="column"><ol> <li style="font-size: 12.000000pt; font-family: 'CMR12';"> <p><span style="font-size: 12pt;">When the positive integers </span><span style="font-size: 12.000000pt; font-family: 'CMMI12';">a, b </span><span style="font-size: 12pt;">and </span><span style="font-size: 12.000000pt; font-family: 'CMMI12';">c </span><span style="font-size: 12pt;">are divided by 13, the respective remainders are 9, 7&nbsp;</span><span style="font-size: 12pt;">and 10. When </span><span style="font-size: 12pt; font-family: CMMI12;">a </span><span style="font-size: 12pt;">+ 2</span><span style="font-size: 12pt; font-family: CMMI12;">b </span><span style="font-size: 12pt;">+ 3</span><span style="font-size: 12pt; font-family: CMMI12;">c </span><span style="font-size: 12pt;">is divided by 13, what is the remainder&nbsp;</span></p> </li> </ol></div> </div> </div>
Asked by priyankajaju | 28 Jul, 2016, 06:26: PM
Expert Answer
begin mathsize 20px style G i v e n space t h r e e space n u m b e r s space a r e space a space comma b space a n d space c.
N o w space a s space g i v e n space w h e n space t h e s e space a r e space d i v i d e d space b y space 13 space t h e y space g i v e space r e m a i n d e r space 9 comma 7 space a n d space 10 space r e s p e c t i v e l y.
T h e r e f o r e space b y space E u c l i d space D i v i s i o n space L e m m a space f o r space p o s i t i v e space n u m b e r s space a comma b space a n d space c space t h e r e space e x i s t space u n i q u e space i n t e g e r s
x space comma y space a n d space z space s u c h space t h a t colon

a equals 13 x plus 9
b equals 13 y plus 7
c equals 13 z plus 10
n o w space f i n d i n g space t h e space v a l u e space o f space a plus 2 b plus 3 c space g i v e s space
a plus 2 b plus 3 c equals 13 x plus 9 plus 26 y plus 14 plus 39 z plus 30
a plus 2 b plus 3 c equals 13 x plus 26 y plus 39 z plus 53
W h e n space d i v i d e d space b y space 13 space g i v e s space r e m a i n d e r space a s space 1
A s space w e space c a n space s e e space t h a t space 13 x space 26 y space a n d space 39 z space a r e space d i v i s i b l e space b y space 13 space l e a v i n g space n o space r e m a i n d e r space a s space t h e y space a r e space m u l t i p l e space o f space 13 space i t s e l f
b u t space w h e n space 53 space i s space d i v i d e d space b y space 13 space i t space g i v e s space 1 space a s space r e m a i n d e r
h e n c e comma space a plus 2 b plus 3 c space d i v i d e d space b y space 13 space g i v e s space 1 space a s space r e m a i n d e r. space

end style
Answered by Vijaykumar Wani | 29 Jul, 2016, 11:53: AM
CBSE 10 - Maths
Asked by abdulbasitoo798 | 20 Jan, 2023, 08:15: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by ambatisonu123 | 13 Dec, 2021, 09:28: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by akhilesh.k19857 | 12 Nov, 2021, 09:37: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by yedurukumari906 | 12 Nov, 2021, 05:09: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by diya1213 | 04 Oct, 2021, 08:53: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by aaru15122 | 20 Jul, 2021, 08:44: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by adityaraj20062511 | 21 Jun, 2021, 07:15: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by lovepreetsingh.123865 | 06 Jun, 2021, 03:28: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by bhavikabhatia1125 | 29 May, 2021, 04:12: PM
ANSWERED BY EXPERT
Free Sample Papers - Click Here
×