Question

Sum of two numbers is 150 and their HCF is 15.Find how many co prime pairs?

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Answer 1

Answer:

Therefore two numbers are (30,150).

Their factors are 30=15*2.

150=15*5*2.

Other combinations are

15,15*5*2*2. That is( 15,300).

15*2*2,15*5. That is (60,75).

Therefore set of numbers for same HCF are

(30,150), (15,300),(60,75)

If we need to fulfill both conditions then we write the multiplication of 15. 15,30,45,60,75,90,105,120,135,150,165,180, Search the sum having a total 180.

We get (15, 165),(30,150),(45,135),(60,120),(75,105),(90,90) Answers.