the numbers are in Gp such that their sum is 38 and their sum is 38 and their product 1728.the greatest number among them is
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Answered by
1
Answer:
18,12,8 are the numbers
the greatest number is 18
for recheck:
18+12+8=38
18×12×8=1728
Answered by
0
Answer:
Let a/r, a, and ar be the three numbers in GP.
Sum, a/r + a + ar = 38 …(i)
Product, (a/r)a(ar) = 1728
a³= 1728
Taking cube root
a = 12
Substitute a in (i)
(12/r) + 12 + 12r = 38
(12/r) + 12r = 26
((1/r) + r) = 26/12
(r² + 1)/ r = 13/6
6r²-13r+6 = 0
Solving using the quadratic formula, we get
r = 2/3or 3/2
The numbers will be 18, 12, 8 or 18, 12, 8.
The greatest number is 18.
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