Question

HIE
od 14 and
of 180 is expressed in the .
form 13m- 16 . Find the value of m.​

Answer 1

Answer:

4

Step-by-step explanation:

The prime factorization of 144 can be done as shown below:

144=2^4\times 3^2144=2

4

×3

2

The prime factorization of 180 can be done as shown below:

180=2^2\times 3^2\times 5180=2

2

×3

2

×5

HCF is highest common factor. SO,

HCF = 2^2\times 3^22

2

×3

2

= 36

Thus, the given expression is - 13 m - 16

So, according to question,

13m - 16 = 36

13 m = 52

m = 4