Question

Three numbers whose sum is 18 are in A.P. If the first is increased by 1, the resulting numbers are in G.P. Find the numbers in A.P.


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Answer 1

Answer:

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Answer 2

Answer:

Let the numbers are a-r,aanda+r.

Then, a+a-r+a+r=18⇒3a=18⇒a=6

We are given if we add 2,4 and 11 to these numbers, it will be in GP.So,

6+4

6-r+2

=

6+r+11

(6+4)

⇒

10

8-r

=

17+r

10

⇒(17+r)(8-r)=100

⇒r2+9r-136+100=0

⇒r2+9r-36=0

⇒(r+12)(r-3)=0

r=-12andr=3

When r=-12, then numbers are, 18,6,-6.

When r=3, then numbers are 3,6,9.

Explanation:

Hope it may help you..