Question

1.The H.C.F of (24,36) is d such that d = 24a + 36b then (a,b) =
a) (2,5) ,b)(5,2),c)(3,5),d) (5,-3)​

Answer 1

answer is (D) ( 5 , -3 ).

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Answer 2

Step-by-step explanation:

HCF of 24,36 = 2×2×3 = 12

• d = 24a + 36b

• 12 = 12(2a + 3b)

• 1 = 2a + 3b

[suppose a = 5]

• 1 = 2(5) +3b

• 1 = 10 + 3b

• -9 = 3b

• -3 = b

You can check the value of a and b by placing then in the equation d = 24a + 36b

Hope it helps you