The numbers are 48+8*sq rt of 30 and 48-8*sq rt of 30
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12 and 8
48 & 336; 144 & 240; For inf, this was calculated by dividing 384 by 48, giving 8. This means that the numbers sought are multiples of 48 by two numbers totalling 8. 1/7 and 3/5 are the only answers which fit the question as 2/6 would mean the HCF was 96 (96 and 288).
To work this problem write all the factors of 96. Add them together to see if they answer the second question. 1,96. 97 2,48. 50 3,32. 35 4,24. 28 6,16. 22 8,12. 20 Choose your answer, 8 and 12
8*12 = 96
{| |- | 384 376 368 288 216 96 94 92 72 54 Answer: All of them |}
It is 36,864
12 and 8
Product = LCM x GCF = 384, sum = 40. Factors of 384 = 2 x 192, 3 x 128, 4 x 96, 6 x 64, 8 x 48, 12 x 34, 16 x 24 That'll do! The numbers are 16 and 24
48 & 336; 144 & 240; For inf, this was calculated by dividing 384 by 48, giving 8. This means that the numbers sought are multiples of 48 by two numbers totalling 8. 1/7 and 3/5 are the only answers which fit the question as 2/6 would mean the HCF was 96 (96 and 288).
To work this problem write all the factors of 96. Add them together to see if they answer the second question. 1,96. 97 2,48. 50 3,32. 35 4,24. 28 6,16. 22 8,12. 20 Choose your answer, 8 and 12
8 x 12 = 968 + 12 = 20The two numbers are therefore 8 and 12.
94+95+96 96
96
As a general rule, factors cannot be larger than the number they are compared to. 384 is a multiple of 96. 96 is a factor of 384.
The numbers are -33, -32, and -31.
96 = 2x2x2x2x2x3
8*12 = 96