Question

Three numbers whose sum is 15 are in ap. If 8,6,4 be added to them respectively, the resultant numbers are in gp. Find the numbers.

Answer 1

Answer : the no.s are 3 , 5 ,7 explanation is in attachment.

Step-by-step explanation:

Answer 2

Answer:

the numbers are 3,5,7 respectively

Step-by-step explanation:

Let us assume three numbers which are in A.P as a-d,a,a+d

Given,

Sum of 3 numbers =15

a-d+a+a+d=15

3a=15

a=5

NOW THE NUMBERS ARE 5-d,5,5+d

add 8,6,4 respectively to the above numbers the we get,

13-d,11,9+d as resultant numbers which are in G.P

Now a/r=13-d,a=11,ar=9+d

CONTINUATION IS IN ABOVE PHOTO

Substite d value in 5-d,5,5+d we will get answers as 3,5,7 respectively.

HOPE IT IS HELPFUL TO U!