Math, asked by srivatsan, 1 year ago

the hcf of two numbes is 12 and their difference is 12. The numbers are ?

Answers

Answered by Anonymous
2
12,24
  or
24,36
   or
36,48


24-12=12
hcf of 12 and 24 is 12

36-24=12
hcf  of 36 and 24=12

36-48=12
hcf of 36 and 48 is 12

srivatsan: please explain the answer as i could not understand
Anonymous: u know to find hcf?
Anonymous: please mark as best
AvmnuSng: This is not complete answer.... There are infinitely many pairs of (a, b). You should not write just the three of them as your answer, should mention the pattern
Anonymous: sorry
Answered by AvmnuSng
0
The steps are following-
Let and are two numbers and HCF = 12 then
a = 12 * x, x > 0
b = 12 * y, y > 0

Also a - b = 12, this gives x = y + 1
So, finally a = 12 * (y + 1) and b = 12 * y, y > 0

So numbers will be
(24, 12) or (12, 24)
(36, 24) or (24, 36)
(48, 36) or (48, 36)
(60, 48) or (48, 60)
and so on..

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