1.

[Zzz) dciu)the 10 ol Heart29. If d is HCF of 40 and 65, find the value of integers x and y which satisfy d = 40x + 65y.

Answer»

HCF of 40, 65 =

40 = 2³ × 5

65 = 13 × 5

HCF = 5

So, d = 40x + 65y

5 = 40 × 5 + 65 × (-3)

So, x = 5 and y = -3

( You can use Euclidean division algorithm)



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