Question

Find the three numbrs which are in A.P. Sum of these three term is 36 if 5,6,7 be added to numbers
respectively then they become in G.P. so find the number.​

Answer 1

Answer:

36 and 6

Step-by-step explanation:

Answer 2

Answer:

Good question bro!

Here is your answer

The three numbers are : 13,12,11

Step-by-step explanation:

Let the numbers be a-d, a, a+d

Given that their sum = 36

a-d+a+a+d=36

3a=36

a=12

So now the AP is 12-d,12,12+d

Adding 5,6,7 respectively to make it AP, we get 17-d,18,19+d

Given that 17-d,18,19+d is an GP

Therefore, 18²=(17-d)(19+d)

324=323+17d-19d-d²

1 = -2d-d²

d²+2d+1 = 0

d²+d+d+1 = 0

d(d+1)+1(d+1)=0

(d+1) (d+1) =0

(d+1) = 0

d = -1

So the AP is 13,12,11

Hope it helped you!

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