Question

Q. 10. Four numbers are in A.P. If sum of
numbers is 50 and larger number is 4 times
the smaller number, then find the number.
plz give me step by step answer​

Answer 1

Answer:

20, 35/3, 40/3, 15

Step-by-step explanation:

let say the numbers are,

a-3d, a-d,a+d, a+3d

sum of them:

4a = 50

therefore, a=25/2

given,

a+3d = 4*(a-3d)= 4a-12d

therefore, 3a=15d

therefore, d= a/15 = 5/6

Answer 2

Let the numbers be a−3d,a−d,a+d,a+3d

Given, sum of all the numbers:

↝a−3d+a−d+a+d+a+3d=50

↝4a=50

↝a=12.5

Given, 

largest number = 4 (smallest number)

↝a+3d=4a−12d

↝15d=3a

↝a=5d

$↝ᴅ = \frac{12.5}{5} = 2.5$

ᴛʜᴇʀᴇғᴏʀᴇ, ɴᴜᴍʙᴇʀs ᴀʀᴇ 5,10,15,20.

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