Math, asked by rkparjapati123474, 6 months ago

If HCF (51, 85) = 2 m - 1, then find m.​

Answers

Answered by mathdude500
3

\large\underline\purple{\bold{Solution :-  }}

The given numbers are 51 and 85

  • Prime factorization of 51 = 17 × 3

  • Prime factorization of 85 = 17 × 5

So,

  • It implies,

 \sf \: HCF (51, 85) = \: 17

Now,

According to statement,

 \sf \: HCF (51, 85) = \: 2m \:  -  \: 1

So,

  • It implies,

\rm :\implies\:2m - 1 = 17

\rm :\implies\:2m = 17 + 1

\rm :\implies\:2m = 18

 \boxed{ \pink{\rm :\implies\:m \:  =  \: 9}}

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