Question

Split 207 into three parts such that these are in A.P. and the product of the two smalled parts is 4623.

Answer 1

Let the three numbers in A.P. be a - d, a, a + d.
(a - d) + a + (a + d) = 207
3a = 207
a = 69
Given,
(a - d) × a = 4632
69-d = 4632/69
d = 69 – (4632/69)
d =129/69
Three parts are
a - d = 69 – (129/69) = 4632/69
a = 69
a + d = 69 + (129/69) = 4890/69
Thus, the three parts are (4632/69), 69, (4890/69).