Question

If hcf of 408 and 1032 is expressible in the form 1032×2+408 then the value of p is

Answer 1

Answer:

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Step-by-step explanation:

HCF of 408 and 1032 is 24

According to the question,

=>HCF = 1032×2+408×p

=>24=2064+408p

=>-408p=2064-24

=>-408p=2040

=>p=-2040/408

=>p=-5

VERIFICATION

=>R.H.S

=>1032×2+408×p

=>2064+408×(-5)

=>2064+(-2040)

=>2064-2040

=>24=L.H.S