6. Three numbers are in the ratio 3:7: 9.If 5 is subtracted from the s

1.	6. Three numbers are in the ratio 3:7: 9.If 5 is subtracted from the second, theresulting numbers are in A.P. Find theoriginal numbers.
Answer» So let the three numbers are 3x , 7x , 9x so according to question3x , 7x - 5 , 9x are AP 2(7x - 5) = 9x + 3x ⇒ 14x - 10 = 12x ⇒ 2x = 10 ⇒ x = 5 so the original numbers are 3 x 5 = 157 x 5 = 359 x 5 = 45

6. Three numbers are in the ratio 3:7: 9.If 5 is subtracted from the second, theresulting numbers are in A.P. Find theoriginal numbers.

Answer»

So let the three numbers are 3x , 7x , 9x

so according to question3x , 7x - 5 , 9x are AP

2(7x - 5) = 9x + 3x

⇒ 14x - 10 = 12x

⇒ 2x = 10

⇒ x = 5

so the original numbers are

3 x 5 = 157 x 5 = 359 x 5 = 45