Question

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

Answer 1

Answer:

p=24

Step-by-step explanation:

HCF of 408 and 1032 is 24(by Euclid division lemma)

ATQ,

HCF = 1032×2+408×P

24=1032×2+408×P

24=2064+408×P

24=2064+408P

-408P=2064-24

-408P=2040

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