Mathematics, 01.06.2020 20:02 niharikam242
HCF(320, x) = 20, LCM(320, x) = 2240, then x =
Answer from: amusgrave2775
140
Step-by-step explanation:
When working HCF and LCM problems, I like to think in terms of this little diagram:
(a [ b ) c]
It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.
__
Here, we're given ...
b = 20
ab = 320
abc = 2240
Then ...
c = abc/(ab) = 2240/320 = 7
x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320
x = 140
Answer from: Quest
1. 8 or -82. 14 or -143. -11, -3, 0, 7, 10
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