alleryThree numbers in G.P. have product 216 and sum 19. The numbers are:
A3, 6, 12
B4, 6, 9
C6, 6, 6
D2, 6, 18
Answer & Solution
Correct answer: B. 4, 6, 9
Let the numbers be a/r, a, ar.
Product = a³ = 216 ⟹ a = 6. Sum 6(1/r+1+r)=19
⟹ 6r²−13r+6=0 ⟹ r=3/2 ⟹ 4, 6, 9.
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