The sum of three numbers in AP is 27. The product of first and the last is 56 find the numbers
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ANSWER
The number are = 4,9,14
EXPLANATION
Three number in Ap are
a - d, a, a + d
sum of three number in Ap = 27
a - d + a + a + d = 27
3a = 27
a = 9
The product of first and the last is = 56
(a - d) (a + d) = 56
a^2 - d^2 = 56
(9)^2 - d^2 = 56
d^2 = 25
d = 5
The number are
a - d = 9 - 5 = 4
a = 9
a + d = 9 + 5 = 14
These number are = 4,9,14
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