Question

write the value of x for which 2x,x+10 and 3x+2​

Answer 1

Answer:

x=6

Step-by-step explanation:

Given that -

2x, x + 10, 3x + 2 are in A.P. This implies that the common difference between the second term and first term, and between third term and second term would be same.

According to the question;

(x + 10) - 2x = (3x + 2) - (x + 10)

⇒ x + 10 - 2x = 3x + 2 - x - 10

⇒ 10 - x = 2x - 8

⇒ 2x + x = 10 + 8

⇒ 3x = 18

⇒ x = \dfrac{18}{3}

3

18

⇒ x = 6