Question

if the hcf of 75 and 151 is expressed in the form 75a -149 find the value of a maths class 10

Answer 1

First Find the HCF of 75 and 151 .
HCF will be 1.
Now put the value of equation as 1
$1 = 75a - 149 \\ 150 = 75a \\ 2 = a$
2 is your answer.

Answer 2

Answer:

a=2

Step-by-step explanation:

Given : 75a -149

To Find: if the hcf of 75 and 151 is expressed in the form 75a -149 find the value of a

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 151 are: 1, 151

So, HCF of 75 and 151 is 1

Since we are given HCF in form 75a -149

⇒75a -149=1

⇒75a =150

⇒a =150/75

⇒a=2

Hence the value of a is 2