Question

Three number are in the ratio 1:2:3. if 2,4,11 are added to them respectively the resulting number are in G.P .FIND THE NUMBER​

Answer 1

Step-by-step explanation:

let the numbers be

1k,2k,3k

after adding 2,4,11 the numbers are in G.P

1k+2,2k+4,3k+11

if a,b,c are in G.P then b²=ac

(2k+4)²=(k+2)(3k+11)

4k²+16+16k=3k²+11k+6k+22

4k²+16k+16=3k²+17k+22

k²+16k+16=17k+22

k²+16k-17k-22+16=0

k²-k-6=0

(k-3)(k+2)

k=3,-2

the numbers can either be 1,6,9

or it can be -2,-4,-6

adding 2,4,11 to the numbers we get

1,6,9 on adding 2,4,11 gives a G.P hence the

numbers are 1,6,9

Answer 2

Answer:

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Step-by-step explanation:

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