95. The H.C.F. of two numbers is 12 and their difference is also 12. T

1.	95. The H.C.F. of two numbers is 12 and their difference is also 12. Thenumbers are
Answer» Let numbers be12xand12ywherexandy are both co-prime numbers. ∴\|12x-12y\|=12 =>12\|x-y\|=12=>\|x-y\|=12/12=1 So there can be many possibilities, x = 2 , y = 1So they can be 24 and 12. x = 3 , y = 2So they can be 36 and 24. x = 5 , y = 4So they can be 60 and 48.

95. The H.C.F. of two numbers is 12 and their difference is also 12. Thenumbers are

Answer»

Let numbers be12xand12ywherexandy are both co-prime numbers.

∴|12x-12y|=12

=>12|x-y|=12=>|x-y|=12/12=1

So there can be many possibilities,

x = 2 , y = 1So they can be 24 and 12.

x = 3 , y = 2So they can be 36 and 24.

x = 5 , y = 4So they can be 60 and 48.