Question

Sum of divisors of 18 is 13× k then k is​

Answer 1

$Given \: number = 18$

Finding divisors of 18:

18 = 1 × 18

= 2 × 9

= 3 × 6

Divisors of 18 = { 1 2,3,6,9,18 }

Sum of divisors of 18 = 13 × k ( given )

$\implies 1+2+3+6+9+18 = 13 \times k$

$\implies 39 = 13 \times k$

/* Dividing bothsides by 13 , we get */

$\implies \frac{39}{13} = \frac{13\times k }{13 }$

$\implies 3 = k$

Therefore.,

$\red{ Value \: of \: k }\green { = 3 }$

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Answer 2

Answer:

3

Step-by-step explanation:

Givennumber=18

Finding divisors of 18:

18 = 1 × 18

= 2 × 9

= 3 × 6

Divisors of 18 = { 1 2,3,6,9,18 }

Sum of divisors of 18 = 13 × k ( given )

\implies 1+2+3+6+9+18 = 13 \times k ⟹1+2+3+6+9+18=13×k

\implies 39 = 13 \times k ⟹39=13×k

/* Dividing bothsides by 13 , we get */

\implies \frac{39}{13} = \frac{13\times k }{13 } ⟹

13

39

=

13

13×k

\implies 3 = k ⟹3=k

Therefore.,

\red{ Value \: of \: k }\green { = 3 } Valueofk=3