Question

in an A.P the sum of the three terms is 24, and their is 480, write the three terms of A.P .​

Answer 1

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Let the numbers be a-d, a and a+d

According to first condition,

a - d + a + a + d = 24

=> 3a = 24

=> a = 8

According to second condition,

( a - d) (a) (a +d) = 504

=> a ( a^2 - d^2) = 504

=> 8 [ (8)^2 - (d)^2] = 504

=> 64 - d^2 = 63

=> d^2 = 1

=> d = 1

First number = 8 - 1 = 7

Second number = 8

Third number = 8 +1 = 9

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Answer 2

Answer:

Let the numbers be a-d, a and a+d

According to first condition,

a - d + a + a + d = 24

=> 3a = 24

=> a = 8

According to second condition,

( a - d) (a) (a +d) = 504

=> a ( a^2 - d^2) = 504

=> 8 [ (8)^2 - (d)^2] = 504

=> 64 - d^2 = 63

=> d^2 = 1

=> d = 1

First number = 8 - 1 = 7

Second number = 8

Third number = 8 +1 = 9