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Asked by Laxmi Last Modified
Answer 
Ballari Dasgupta
Let, Given, Three Numbers A.P SUM = 21 ----- eq(1)
Product = 31 ------- eq(2)
Let,
Three numbers Are Given below
(a-d), a, (a+d) -------- (3)
Put the Vallue of eq 1
(a-d), a, (a+d) = 21
Solve The equation
3a = 21
a = 7 -------- Eq(4)
Put The vallue Of eq No (4) to Eq No 3
Then,
(7-d)×7×(7+d) = 231
then Solve eq
(7-d)×(7+d) = 231÷7
(7-d)×(7+d) = 33
Use The Formulla (a-b)×(a+b)=a^2-b^2
7^2 - d^2 = 33
Square Of The given Equation
49 - d^2 = 33
49 - 33 = d^2
16 = d^2
.
. . d = 4 ------- (5)
put The vallu Of a & b in Eq 3
(7-4),7,(7+4)
Then Three Numbers Are 3, 7,11
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