Question

if x,13 , y and 3 are in ap. find the value of x and y​

Answer 1

Answer:

Step-by-step explanation:

Attached below.. Hope it helps!

Answer 2

Answer:

The value of x and y​ are 18 and 8 respectively.

Given:

The AP  x, 13 , y , 3 are in ap.  

To find:

The value of x and y

Solution:

In an AP, the series is a, a+d, a+2d and so on,

where $t_{1}$ = a,$t_{2}$  = a + d, $t_{3}$  = a+2d

$\mathrm{t}_{2}-\mathrm{t}_{1}=\mathrm{t}_{3}-\mathrm{t}_{2}=\mathrm{t}_{4}-\mathrm{t}_{3}$

Substituting the values of series in the above formula,

13 – x = y – 13 = 3 – y

Consider the second and third equivalents,

y – 13 = 3 – y

2y = 16

y = 8

Substitute y = 8 in the equation,

13 – x = 8 - 13

13 – x = - 5

X = 18