Question

Three numbers whose sum is 18 are in AP. if 2,4 ,11 are added to them respectively the resulting number are in GP find the numbers.​

Answer 1

Answer:

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Step-by-step explanation:

let numbers are a-d,a,a+d

A.T.Q.

a-d+a+a+d=18

3a=18

a=6

again A.T.Q

6-d+2,6+4,6+d+11 are in G.P.

so

8-d,10 and 17+d are in G.P.

10/8-d=17+d/10

(17+d)(8-d)=100

136+8d-17d-d^2=100

d^2+9d-36=0

d^2+12d-3d-36=0

d(d+12)-3(d+12)=0

d=3,-12

if d=3

numbers are 6-3,6,6+3

I.e.3,6,9

if d=-12

numbers are 18,6,-6

Answer 2

Answer:

Step-by-step explanation: