Three numbers are in Arithmetic Progression AP whose sum is 30 and the product is 910 Then the great...........

Quantitative Aptitude (CGL) Arithmetic progression

Three numbers are in Arithmetic Progression (AP) whose sum is 30 and the product is 910. Then the greatest number in the AP is

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Explanation:

Let the three number is a - b, a, a + d
a is first term, d id common difference
a+d+a+a−a=30Given
3a=30
a=10
(a+d)(a)(a−d)=910
(10+d)(10)(10−d)=91×10
(10+d)(10−d)=91
put d = 3
(10+3)(10−3)=91
So, d = 3
So greater number is = a + d = 10 + 3 = 13