sum of 3 numbers in a.p is 45 and product is 3135 find common difference
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let the numbers are a-d ,a,a+d
so
a-d+a+a+d = 45
3a = 45
a = 15
now
(15-d) *15*(15+d) = 3135
(15-d)*(15+d) = 3135/15= 209
225 - d^2 = 209
d ^2 = 225-209=16
d = 4 or -4
so
a-d+a+a+d = 45
3a = 45
a = 15
now
(15-d) *15*(15+d) = 3135
(15-d)*(15+d) = 3135/15= 209
225 - d^2 = 209
d ^2 = 225-209=16
d = 4 or -4
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