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Byju's Answer
Standard X
Mathematics
Applications of HCF & LCM in Real-World Problems
What is the l...
Question

What is the least number that must be subtracted from 1160 so that the sum of the 1160 and the resulting number is completely divisible by 19?

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Solution

S u p p o s e space w e space d i v i d e space N space b y space n comma space a n d space t h e space r e m a i n d e r space i s space r. space T h e n space N equals q n plus r comma space w h e r e space 0 less or equal than r less than n. space I n space o r d e r space t h a t space N plus M space i s space d i v i s i b l e space b y space n comma space M space m u s t space b e space o f space t h e space f o r m space q prime n minus r. space S i n c e space M space m u s t space b e space t h e space l a r g e s t space i n t e g e r space o f space t h i s space f o r m space a n d space n o t space e x c e e d space N comma space w e space h a v e space q prime n minus r less or equal than q n plus r comma space s o space t h a t

Error converting from MathML to accessible text.

q apostrophe equals open curly brackets table attributes columnalign left end attributes row cell q comma end cell row cell q plus 1 comma end cell end table close table attributes columnalign right center left columnspacing 2px end attributes row cell 2 r end cell less than cell n comma end cell row cell 2 r end cell greater or equal than cell n. end cell end table

and

N minus M equals open curly brackets table attributes columnalign left end attributes row cell 2 r comma end cell row cell 2 r minus n end cell end table close table attributes columnalign right center left columnspacing 2px end attributes row cell 2 r end cell less than cell n comma end cell row cell 2 r end cell greater or equal than cell n. end cell end table

Error converting from MathML to accessible text.


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