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the given nos. are - 40,65 among them- 60>45 applying division lemma .. 60=40*1+25........1 since remainder is not equal to 0 .. we apply lemma to 40 and 25 40=25*1+15 then,..... 2 25=15*1+10.............3 15=10*1+5..............4 10=5*2+0 ..............5 as d=5 ... therefore, 5=40x+65y

we know value for 15,10 and 25 is as follows: 15=40-25*1 and 10=25-15*1 25=60-40*1

5=15-10*1 on putting value 5=40-25*1-(25-15*1) 5=40-25-25+15 5=40-(60-40*1)-(60-40*1)+40-25*1 5=40-60+40-60+40+40-(60-40*1) 5=40-60+40-60+40+40-60+40 5=40*5-60*3 5=40*5+60*(-3)

the given nos. are - 40,65 among them- 60>45 applying division lemma .. 60=40*1+25........1 since remainder is not equal to 0 .. we apply lemma to 40 and 25 40=25*1+15 then,..... 2 25=15*1+10.............3 15=10*1+5..............4 10=5*2+0 ..............5 as d=5 ... therefore, 5=40x+65y

we know value for 15,10 and 25 is as follows: 15=40-25*1 and 10=25-15*1 25=60-40*1

5=15-10*1 on putting value 5=40-25*1-(25-15*1) 5=40-25-25+15 5=40-(60-40*1)-(60-40*1)+40-25*1 5=40-60+40-60+40+40-(60-40*1) 5=40-60+40-60+40+40-60+40 5=40*5-60*3 5=40*5+60*(-3)