Question

the sum of the three number in ap is 24 and their product is 242 find the numbers

Answer 1

Answer:

Step-by-step explanation:

Let the three terms are in an A.P. are a-d, a , a+d

Sum is given 24

(a-d)+ a + (a+d)=24

3a=24

a=24/3

a=8

Product is given 242

(a-d) (a) (a+d)=242

Put a= 8

(8-d) (8) (8+d)=242

(8-d) (8+d) =242/8

64 + 8d -8d- d^2=121/4

64 -d^2=121/4

Taking square root both the sides

8 - d = 11/2

-d= 11/2 -8

-d= -5/2

d=5/2

Put a and d in three terms

a-d=8-5/2=11/2

a=8

a+d=8+5=13