Question

Jo gu.sa.a (25,15)=4x+1 hoy to x =

Answer 1

$Given \: H.C.F ( 25,15 ) = 4x + 1$

Resolving 25 and 15 into product of prime factors, we get

25 = 5 × 5

15 = 3 × 5

Now, HCF (25,15) = 5

$H.C.F ( 25,15 ) = 4x + 1$

$\implies 5 = 4x + 1$

$\implies 5 - 1 = 4x$

$\implies 4 = 4x$

$\implies 4x = 4$

$\implies x = \frac{4}{4}$

$\implies x = 1$

Therefore.,

$\red{ Value \: of \: x } \green { = 1 }$

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