Question

do prakritik sankhaye jinka antar 66 aur lcm 360 hai ye sankhaye gyat kijiye​

Answer 1

Answer:

mana ki chhoti sankhya x hai

to badi sankhya x+66 hogi

dono 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 liye

hcf x lcm = pehli sankhya x dusri sankhya

360*6 = x(x+66)

x^2 + 66x - 2160 = 0

x^2 + 90x - 24x - 2160 = 0

x(x+90) - 24(x+90) = 0

(x+90)(x-24)= 0

x = 24, -90

x = 24 (chunki sankhya prakritik hai)

dusri sankhya

= 24+66

= 90