Question

Three numbers are in the ratio 2:3:5. The first number, second number reduced by 5 and the third number form an arithmetic sequence. Then the three numbers are

Answer 1

Answer:

-10 , -15 , -25

Step-by-step explanation:

Three numbers are in the ratio 2:3:5. The first number, second number reduced by 5 and the third number form an arithmetic sequence. Then the three numbers are

Let say three numbers are

2k  , 3k  & 5k

2k-5  , 3k-5  & 5k form an AP

=> (2k - 5 + 5k) = 2 (3k -5)

=> 7k - 5 = 6k - 10

=> k = -5

=> three numbers are

-10 , -15 , -25