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CBSE Class 10 Answered

Express 52x+117y in terms of HCF of 52 and 117.
Asked by varakalasuchi3 | 26 Mar, 2018, 11:06: AM
answered-by-expert Expert Answer
begin mathsize 16px style Using space Euclid apostrophe straight s space division space lemma
straight a equals bq plus straight r
As space 117 greater than 52
Consider comma
straight a equals 117 comma space straight b equals 52
117 equals 52 cross times 2 plus 13
52 equals 13 cross times 4 plus 0
HCF space of space 117 space and space 52 space is space 13.
13 space can space be space written space as space 52 cross times open parentheses negative 2 close parentheses plus 117 cross times 1 space where space straight x equals negative 2 space and space straight y equals 1. end style
Answered by Sneha shidid | 26 Mar, 2018, 12:05: PM
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