Question

Three no.Are in ratio 4 :9:16 .If 5 is added in second ,the resultingno.Forms an ap .Find theoriginalnumber

Answer 1

Answer:

Step-by-step explanation:

Let, the three numbers be 4x , 9x , 16x.

According to question,

4x , 9x + 5 , 16x are AP

2(9x + 5) = 4x + 16x 

⇒ 18x + 10 = 20x

⇒ 2x = 10 

⇒ x = 5 

So, the original numbers are 

4 x 5 = 20

9 x 5 = 45

16 x 5 = 80