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Do prakrit sankhaya jinka antar 66 hai and lcm 360 hai ​

Answer»

mana ki chhoti sankhya x haito badi sankhya x+66 hogidono sankhya ka HCF dono sankhya KE antar ko aur LCM ko bhi divide karega. isliye dono sankhya ka HCF wahi HOGA jo 66 aur 360 ka HCF hoga.66 aur 360 ka HCF 6 HAI.hum jante hai ki do sankhyayo ke liyehcf x Icm = pehli sankhya x dusri sankhya360*6 = x(x+66)x^2 + 66x - 2160 = 0x^2 + 90x - 24X - 2160 = 0x(x+90) - 24(x+90) = 0(x+90)(x-24)= 0X = 24, -90x = 24 (chunki sankhya prakritik hai)dusri sankhya= 24+66= 90



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