Question

the hcf and lcm of two numbers are 45 and 3 respectively their sum is 24 what is their differences​

Answer 1

Answer:

• let the numbers are x and y
• x+y=24

• x×y=45×3=135

• therefore

$(x - y) {}^{2} = (x + y) {}^{2} - 4xy \\ (x - y) {}^{2} = 24 {}^{2} - 4 \times 135 \\ (x - y) = \sqrt{36} \\ (x - y) = 36$

Answer 2

hey there!!!

Let the two no. be x and y

their lcm =3

hcf=45

=> x+y=24

=> y= 24 - y ----------(1)

we know that :

=> LCM×HCF = xy

=> 3×45 = x(24-x)

=> 135 = 24x - x²

=> x² -24x +135 = 0

this is quadratic equation...

=> x² -9x - 15x + 135 = 0

=> x(x-9) -15(x-9) = 0

=> (x-9)(x-15) = 0

we get x = 15 , y = 9

so their difference is x-y = 15 - 9 = 6 ans

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#thanks